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Finding the Fourth Proportional to 257,191.61, 386,036.42 and 124,165.24

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Solution

The fourth proportional to 257,191.61, 386,036.42 and 124,165.24 is: 186,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.61 : 386,036.42 = 124,165.24 : x
  2. Step 2: Convert to fraction form
    257,191.61/386,036.42 = 124,165.24/x
  3. Step 3: Cross multiply
    257,191.61x = 386,036.42 × 124,165.24
  4. Step 4: Simplify right side
    257,191.61x = 47,932,303,152.12
  5. Step 5: Solve for x
    x = 47,932,303,152.12/257,191.61
  6. Step 6: Final answer
    x = 186,368.07

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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.