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Finding the Fourth Proportional to 180,751.60, 249,437.34 and 100,177.60

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Solution

The fourth proportional to 180,751.60, 249,437.34 and 100,177.60 is: 138,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,751.60 : 249,437.34 = 100,177.60 : x
  2. Step 2: Convert to fraction form
    180,751.60/249,437.34 = 100,177.60/x
  3. Step 3: Cross multiply
    180,751.60x = 249,437.34 × 100,177.60
  4. Step 4: Simplify right side
    180,751.60x = 24,988,034,071.58
  5. Step 5: Solve for x
    x = 24,988,034,071.58/180,751.60
  6. Step 6: Final answer
    x = 138,245.16

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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.