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Finding the Fourth Proportional to 142,726.60, 214,089.90 and 133,978.60

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Solution

The fourth proportional to 142,726.60, 214,089.90 and 133,978.60 is: 200,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726.60 : 214,089.90 = 133,978.60 : x
  2. Step 2: Convert to fraction form
    142,726.60/214,089.90 = 133,978.60/x
  3. Step 3: Cross multiply
    142,726.60x = 214,089.90 × 133,978.60
  4. Step 4: Simplify right side
    142,726.60x = 28,683,465,076.14
  5. Step 5: Solve for x
    x = 28,683,465,076.14/142,726.60
  6. Step 6: Final answer
    x = 200,967.90

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1.5x scale

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.