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Finding the Fourth Proportional to 142,655.20, 213,752.40 and 89,970.40

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Solution

The fourth proportional to 142,655.20, 213,752.40 and 89,970.40 is: 134,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.20 : 213,752.40 = 89,970.40 : x
  2. Step 2: Convert to fraction form
    142,655.20/213,752.40 = 89,970.40/x
  3. Step 3: Cross multiply
    142,655.20x = 213,752.40 × 89,970.40
  4. Step 4: Simplify right side
    142,655.20x = 19,231,388,928.96
  5. Step 5: Solve for x
    x = 19,231,388,928.96/142,655.20
  6. Step 6: Final answer
    x = 134,810.29

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1.5x scale

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.