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Finding the Fourth Proportional to 176,906.48, 243,970.94 and 116,454.77

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Solution

The fourth proportional to 176,906.48, 243,970.94 and 116,454.77 is: 160,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,906.48 : 243,970.94 = 116,454.77 : x
  2. Step 2: Convert to fraction form
    176,906.48/243,970.94 = 116,454.77/x
  3. Step 3: Cross multiply
    176,906.48x = 243,970.94 × 116,454.77
  4. Step 4: Simplify right side
    176,906.48x = 28,411,578,775.67
  5. Step 5: Solve for x
    x = 28,411,578,775.67/176,906.48
  6. Step 6: Final answer
    x = 160,602.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.