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Finding the Fourth Proportional to 180,575.69, 249,235.92 and 120,148.88

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Solution

The fourth proportional to 180,575.69, 249,235.92 and 120,148.88 is: 165,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,575.69 : 249,235.92 = 120,148.88 : x
  2. Step 2: Convert to fraction form
    180,575.69/249,235.92 = 120,148.88/x
  3. Step 3: Cross multiply
    180,575.69x = 249,235.92 × 120,148.88
  4. Step 4: Simplify right side
    180,575.69x = 29,945,416,643.77
  5. Step 5: Solve for x
    x = 29,945,416,643.77/180,575.69
  6. Step 6: Final answer
    x = 165,833.05

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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.