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Finding the Fourth Proportional to 153,200.14, 211,416.17 and 86,132.14

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Solution

The fourth proportional to 153,200.14, 211,416.17 and 86,132.14 is: 118,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.14 : 211,416.17 = 86,132.14 : x
  2. Step 2: Convert to fraction form
    153,200.14/211,416.17 = 86,132.14/x
  3. Step 3: Cross multiply
    153,200.14x = 211,416.17 × 86,132.14
  4. Step 4: Simplify right side
    153,200.14x = 18,209,727,152.70
  5. Step 5: Solve for x
    x = 18,209,727,152.70/153,200.14
  6. Step 6: Final answer
    x = 118,862.34

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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.