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Finding the Fourth Proportional to 98,296.74, 147,393.27 and 42,862.50

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Solution

The fourth proportional to 98,296.74, 147,393.27 and 42,862.50 is: 64,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296.74 : 147,393.27 = 42,862.50 : x
  2. Step 2: Convert to fraction form
    98,296.74/147,393.27 = 42,862.50/x
  3. Step 3: Cross multiply
    98,296.74x = 147,393.27 × 42,862.50
  4. Step 4: Simplify right side
    98,296.74x = 6,317,644,035.38
  5. Step 5: Solve for x
    x = 6,317,644,035.38/98,296.74
  6. Step 6: Final answer
    x = 64,271.15

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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.