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Finding the Fourth Proportional to 152,411.41, 210,331.12 and 86,998.90

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Solution

The fourth proportional to 152,411.41, 210,331.12 and 86,998.90 is: 120,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.41 : 210,331.12 = 86,998.90 : x
  2. Step 2: Convert to fraction form
    152,411.41/210,331.12 = 86,998.90/x
  3. Step 3: Cross multiply
    152,411.41x = 210,331.12 × 86,998.90
  4. Step 4: Simplify right side
    152,411.41x = 18,298,575,024.11
  5. Step 5: Solve for x
    x = 18,298,575,024.11/152,411.41
  6. Step 6: Final answer
    x = 120,060.41

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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.