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Finding the Fourth Proportional to 87,265, 130,897.50 and 28,106.65

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Solution

The fourth proportional to 87,265, 130,897.50 and 28,106.65 is: 42,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,265 : 130,897.50 = 28,106.65 : x
  2. Step 2: Convert to fraction form
    87,265/130,897.50 = 28,106.65/x
  3. Step 3: Cross multiply
    87,265x = 130,897.50 × 28,106.65
  4. Step 4: Simplify right side
    87,265x = 3,679,090,218.38
  5. Step 5: Solve for x
    x = 3,679,090,218.38/87,265
  6. Step 6: Final answer
    x = 42,159.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.