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Finding the Fourth Proportional to 152,424.86, 210,381.30 and 101,439.74

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Solution

The fourth proportional to 152,424.86, 210,381.30 and 101,439.74 is: 140,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,424.86 : 210,381.30 = 101,439.74 : x
  2. Step 2: Convert to fraction form
    152,424.86/210,381.30 = 101,439.74/x
  3. Step 3: Cross multiply
    152,424.86x = 210,381.30 × 101,439.74
  4. Step 4: Simplify right side
    152,424.86x = 21,341,024,898.82
  5. Step 5: Solve for x
    x = 21,341,024,898.82/152,424.86
  6. Step 6: Final answer
    x = 140,010.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.