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Finding the Fourth Proportional to 275,871.60, 413,807.40 and 142,792.65

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Solution

The fourth proportional to 275,871.60, 413,807.40 and 142,792.65 is: 214,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,871.60 : 413,807.40 = 142,792.65 : x
  2. Step 2: Convert to fraction form
    275,871.60/413,807.40 = 142,792.65/x
  3. Step 3: Cross multiply
    275,871.60x = 413,807.40 × 142,792.65
  4. Step 4: Simplify right side
    275,871.60x = 59,088,655,235.61
  5. Step 5: Solve for x
    x = 59,088,655,235.61/275,871.60
  6. Step 6: Final answer
    x = 214,188.98

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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.