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Finding the Fourth Proportional to 180,967.57, 249,707.10 and 103,442.06

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Solution

The fourth proportional to 180,967.57, 249,707.10 and 103,442.06 is: 142,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967.57 : 249,707.10 = 103,442.06 : x
  2. Step 2: Convert to fraction form
    180,967.57/249,707.10 = 103,442.06/x
  3. Step 3: Cross multiply
    180,967.57x = 249,707.10 × 103,442.06
  4. Step 4: Simplify right side
    180,967.57x = 25,830,217,832.80
  5. Step 5: Solve for x
    x = 25,830,217,832.80/180,967.57
  6. Step 6: Final answer
    x = 142,733.96

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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.