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Finding the Fourth Proportional to 180,460, 249,031.20 and 99,887.50

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Solution

The fourth proportional to 180,460, 249,031.20 and 99,887.50 is: 137,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460 : 249,031.20 = 99,887.50 : x
  2. Step 2: Convert to fraction form
    180,460/249,031.20 = 99,887.50/x
  3. Step 3: Cross multiply
    180,460x = 249,031.20 × 99,887.50
  4. Step 4: Simplify right side
    180,460x = 24,875,103,990
  5. Step 5: Solve for x
    x = 24,875,103,990/180,460
  6. Step 6: Final answer
    x = 137,842.76

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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.