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Finding the Fourth Proportional to 180,602, 249,232.56 and 108,968.16

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Solution

The fourth proportional to 180,602, 249,232.56 and 108,968.16 is: 150,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602 : 249,232.56 = 108,968.16 : x
  2. Step 2: Convert to fraction form
    180,602/249,232.56 = 108,968.16/x
  3. Step 3: Cross multiply
    180,602x = 249,232.56 × 108,968.16
  4. Step 4: Simplify right side
    180,602x = 27,158,413,475.29
  5. Step 5: Solve for x
    x = 27,158,413,475.29/180,602
  6. Step 6: Final answer
    x = 150,377.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.