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Finding the Fourth Proportional to 180,988.64, 249,764.38 and 100,417.04

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Solution

The fourth proportional to 180,988.64, 249,764.38 and 100,417.04 is: 138,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,988.64 : 249,764.38 = 100,417.04 : x
  2. Step 2: Convert to fraction form
    180,988.64/249,764.38 = 100,417.04/x
  3. Step 3: Cross multiply
    180,988.64x = 249,764.38 × 100,417.04
  4. Step 4: Simplify right side
    180,988.64x = 25,080,599,737.04
  5. Step 5: Solve for x
    x = 25,080,599,737.04/180,988.64
  6. Step 6: Final answer
    x = 138,575.55

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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.