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Finding the Fourth Proportional to 180,810.90, 270,957.15 and 133,053.30

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Solution

The fourth proportional to 180,810.90, 270,957.15 and 133,053.30 is: 199,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810.90 : 270,957.15 = 133,053.30 : x
  2. Step 2: Convert to fraction form
    180,810.90/270,957.15 = 133,053.30/x
  3. Step 3: Cross multiply
    180,810.90x = 270,957.15 × 133,053.30
  4. Step 4: Simplify right side
    180,810.90x = 36,051,742,966.10
  5. Step 5: Solve for x
    x = 36,051,742,966.10/180,810.90
  6. Step 6: Final answer
    x = 199,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.