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Finding the Fourth Proportional to 200,031.60, 276,069.72 and 115,152.24

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Solution

The fourth proportional to 200,031.60, 276,069.72 and 115,152.24 is: 158,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031.60 : 276,069.72 = 115,152.24 : x
  2. Step 2: Convert to fraction form
    200,031.60/276,069.72 = 115,152.24/x
  3. Step 3: Cross multiply
    200,031.60x = 276,069.72 × 115,152.24
  4. Step 4: Simplify right side
    200,031.60x = 31,790,046,654.17
  5. Step 5: Solve for x
    x = 31,790,046,654.17/200,031.60
  6. Step 6: Final answer
    x = 158,925.12

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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.