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Finding the Fourth Proportional to 153,200.15, 211,416.18 and 86,132.15

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Solution

The fourth proportional to 153,200.15, 211,416.18 and 86,132.15 is: 118,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.15 : 211,416.18 = 86,132.15 : x
  2. Step 2: Convert to fraction form
    153,200.15/211,416.18 = 86,132.15/x
  3. Step 3: Cross multiply
    153,200.15x = 211,416.18 × 86,132.15
  4. Step 4: Simplify right side
    153,200.15x = 18,209,729,071.11
  5. Step 5: Solve for x
    x = 18,209,729,071.11/153,200.15
  6. Step 6: Final answer
    x = 118,862.35

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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.