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Finding the Fourth Proportional to 152,356.86, 228,472.11 and 57,570.66

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Solution

The fourth proportional to 152,356.86, 228,472.11 and 57,570.66 is: 86,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,356.86 : 228,472.11 = 57,570.66 : x
  2. Step 2: Convert to fraction form
    152,356.86/228,472.11 = 57,570.66/x
  3. Step 3: Cross multiply
    152,356.86x = 228,472.11 × 57,570.66
  4. Step 4: Simplify right side
    152,356.86x = 13,153,290,164.29
  5. Step 5: Solve for x
    x = 13,153,290,164.29/152,356.86
  6. Step 6: Final answer
    x = 86,332.12

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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.