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Finding the Fourth Proportional to 176,712.69, 243,857.95 and 96,138.16

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Solution

The fourth proportional to 176,712.69, 243,857.95 and 96,138.16 is: 132,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,712.69 : 243,857.95 = 96,138.16 : x
  2. Step 2: Convert to fraction form
    176,712.69/243,857.95 = 96,138.16/x
  3. Step 3: Cross multiply
    176,712.69x = 243,857.95 × 96,138.16
  4. Step 4: Simplify right side
    176,712.69x = 23,444,054,614.37
  5. Step 5: Solve for x
    x = 23,444,054,614.37/176,712.69
  6. Step 6: Final answer
    x = 132,667.63

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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.