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Finding the Fourth Proportional to 180,638.32, 249,277.54 and 100,064.08

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Solution

The fourth proportional to 180,638.32, 249,277.54 and 100,064.08 is: 138,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,638.32 : 249,277.54 = 100,064.08 : x
  2. Step 2: Convert to fraction form
    180,638.32/249,277.54 = 100,064.08/x
  3. Step 3: Cross multiply
    180,638.32x = 249,277.54 × 100,064.08
  4. Step 4: Simplify right side
    180,638.32x = 24,943,727,704.76
  5. Step 5: Solve for x
    x = 24,943,727,704.76/180,638.32
  6. Step 6: Final answer
    x = 138,086.58

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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.