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Finding the Fourth Proportional to 180,454.16, 249,052.20 and 105,026.96

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Solution

The fourth proportional to 180,454.16, 249,052.20 and 105,026.96 is: 144,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,454.16 : 249,052.20 = 105,026.96 : x
  2. Step 2: Convert to fraction form
    180,454.16/249,052.20 = 105,026.96/x
  3. Step 3: Cross multiply
    180,454.16x = 249,052.20 × 105,026.96
  4. Step 4: Simplify right side
    180,454.16x = 26,157,195,447.31
  5. Step 5: Solve for x
    x = 26,157,195,447.31/180,454.16
  6. Step 6: Final answer
    x = 144,952.02

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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.