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Finding the Fourth Proportional to 180,512.64, 249,172.88 and 105,061.14

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Solution

The fourth proportional to 180,512.64, 249,172.88 and 105,061.14 is: 145,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512.64 : 249,172.88 = 105,061.14 : x
  2. Step 2: Convert to fraction form
    180,512.64/249,172.88 = 105,061.14/x
  3. Step 3: Cross multiply
    180,512.64x = 249,172.88 × 105,061.14
  4. Step 4: Simplify right side
    180,512.64x = 26,178,386,304.58
  5. Step 5: Solve for x
    x = 26,178,386,304.58/180,512.64
  6. Step 6: Final answer
    x = 145,022.46

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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.