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Finding the Fourth Proportional to 142,312.80, 213,437.75 and 41,088.86

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Solution

The fourth proportional to 142,312.80, 213,437.75 and 41,088.86 is: 61,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,312.80 : 213,437.75 = 41,088.86 : x
  2. Step 2: Convert to fraction form
    142,312.80/213,437.75 = 41,088.86/x
  3. Step 3: Cross multiply
    142,312.80x = 213,437.75 × 41,088.86
  4. Step 4: Simplify right side
    142,312.80x = 8,769,914,156.62
  5. Step 5: Solve for x
    x = 8,769,914,156.62/142,312.80
  6. Step 6: Final answer
    x = 61,624.21

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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.