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Finding the Fourth Proportional to 142,643.60, 213,965.40 and 133,312.40

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Solution

The fourth proportional to 142,643.60, 213,965.40 and 133,312.40 is: 199,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643.60 : 213,965.40 = 133,312.40 : x
  2. Step 2: Convert to fraction form
    142,643.60/213,965.40 = 133,312.40/x
  3. Step 3: Cross multiply
    142,643.60x = 213,965.40 × 133,312.40
  4. Step 4: Simplify right side
    142,643.60x = 28,524,240,990.96
  5. Step 5: Solve for x
    x = 28,524,240,990.96/142,643.60
  6. Step 6: Final answer
    x = 199,968.60

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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.