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Finding the Fourth Proportional to 257,957.80, 386,807.10 and 117,557.80

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Solution

The fourth proportional to 257,957.80, 386,807.10 and 117,557.80 is: 176,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,957.80 : 386,807.10 = 117,557.80 : x
  2. Step 2: Convert to fraction form
    257,957.80/386,807.10 = 117,557.80/x
  3. Step 3: Cross multiply
    257,957.80x = 386,807.10 × 117,557.80
  4. Step 4: Simplify right side
    257,957.80x = 45,472,191,700.38
  5. Step 5: Solve for x
    x = 45,472,191,700.38/257,957.80
  6. Step 6: Final answer
    x = 176,277.64

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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.