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Finding the Fourth Proportional to 157,192.32, 235,472.64 and 78,067.20

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Solution

The fourth proportional to 157,192.32, 235,472.64 and 78,067.20 is: 116,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,192.32 : 235,472.64 = 78,067.20 : x
  2. Step 2: Convert to fraction form
    157,192.32/235,472.64 = 78,067.20/x
  3. Step 3: Cross multiply
    157,192.32x = 235,472.64 × 78,067.20
  4. Step 4: Simplify right side
    157,192.32x = 18,382,689,681.41
  5. Step 5: Solve for x
    x = 18,382,689,681.41/157,192.32
  6. Step 6: Final answer
    x = 116,943.94

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1.5x scale

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.