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Finding the Fourth Proportional to 180,861.90, 249,538.50 and 142,502.52

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Solution

The fourth proportional to 180,861.90, 249,538.50 and 142,502.52 is: 196,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,861.90 : 249,538.50 = 142,502.52 : x
  2. Step 2: Convert to fraction form
    180,861.90/249,538.50 = 142,502.52/x
  3. Step 3: Cross multiply
    180,861.90x = 249,538.50 × 142,502.52
  4. Step 4: Simplify right side
    180,861.90x = 35,559,865,087.02
  5. Step 5: Solve for x
    x = 35,559,865,087.02/180,861.90
  6. Step 6: Final answer
    x = 196,613.36

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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.