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Finding the Fourth Proportional to 176,141.92, 243,068.16 and 100,695.28

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Solution

The fourth proportional to 176,141.92, 243,068.16 and 100,695.28 is: 138,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,141.92 : 243,068.16 = 100,695.28 : x
  2. Step 2: Convert to fraction form
    176,141.92/243,068.16 = 100,695.28/x
  3. Step 3: Cross multiply
    176,141.92x = 243,068.16 × 100,695.28
  4. Step 4: Simplify right side
    176,141.92x = 24,475,816,430.28
  5. Step 5: Solve for x
    x = 24,475,816,430.28/176,141.92
  6. Step 6: Final answer
    x = 138,955.09

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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.