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Finding the Fourth Proportional to 142,004.60, 213,006.90 and 42,180.20

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Solution

The fourth proportional to 142,004.60, 213,006.90 and 42,180.20 is: 63,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.60 : 213,006.90 = 42,180.20 : x
  2. Step 2: Convert to fraction form
    142,004.60/213,006.90 = 42,180.20/x
  3. Step 3: Cross multiply
    142,004.60x = 213,006.90 × 42,180.20
  4. Step 4: Simplify right side
    142,004.60x = 8,984,673,643.38
  5. Step 5: Solve for x
    x = 8,984,673,643.38/142,004.60
  6. Step 6: Final answer
    x = 63,270.30

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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.