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Finding the Fourth Proportional to 145,851.40, 218,339.70 and 86,656.60

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Solution

The fourth proportional to 145,851.40, 218,339.70 and 86,656.60 is: 129,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851.40 : 218,339.70 = 86,656.60 : x
  2. Step 2: Convert to fraction form
    145,851.40/218,339.70 = 86,656.60/x
  3. Step 3: Cross multiply
    145,851.40x = 218,339.70 × 86,656.60
  4. Step 4: Simplify right side
    145,851.40x = 18,920,576,047.02
  5. Step 5: Solve for x
    x = 18,920,576,047.02/145,851.40
  6. Step 6: Final answer
    x = 129,725.02

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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.