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Finding the Fourth Proportional to 176,830.50, 244,026.10 and 97,342.50

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Solution

The fourth proportional to 176,830.50, 244,026.10 and 97,342.50 is: 134,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,830.50 : 244,026.10 = 97,342.50 : x
  2. Step 2: Convert to fraction form
    176,830.50/244,026.10 = 97,342.50/x
  3. Step 3: Cross multiply
    176,830.50x = 244,026.10 × 97,342.50
  4. Step 4: Simplify right side
    176,830.50x = 23,754,110,639.25
  5. Step 5: Solve for x
    x = 23,754,110,639.25/176,830.50
  6. Step 6: Final answer
    x = 134,332.66

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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.