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Finding the Fourth Proportional to 145,422.60, 218,133.90 and 75,323.40

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Solution

The fourth proportional to 145,422.60, 218,133.90 and 75,323.40 is: 112,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.60 : 218,133.90 = 75,323.40 : x
  2. Step 2: Convert to fraction form
    145,422.60/218,133.90 = 75,323.40/x
  3. Step 3: Cross multiply
    145,422.60x = 218,133.90 × 75,323.40
  4. Step 4: Simplify right side
    145,422.60x = 16,430,587,003.26
  5. Step 5: Solve for x
    x = 16,430,587,003.26/145,422.60
  6. Step 6: Final answer
    x = 112,985.10

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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.