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Finding the Fourth Proportional to 93,434.40, 140,151.60 and 77,031.90

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Solution

The fourth proportional to 93,434.40, 140,151.60 and 77,031.90 is: 115,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,434.40 : 140,151.60 = 77,031.90 : x
  2. Step 2: Convert to fraction form
    93,434.40/140,151.60 = 77,031.90/x
  3. Step 3: Cross multiply
    93,434.40x = 140,151.60 × 77,031.90
  4. Step 4: Simplify right side
    93,434.40x = 10,796,144,036.04
  5. Step 5: Solve for x
    x = 10,796,144,036.04/93,434.40
  6. Step 6: Final answer
    x = 115,547.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.