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Finding the Fourth Proportional to 145,858.60, 218,442.30 and 89,871.40

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Solution

The fourth proportional to 145,858.60, 218,442.30 and 89,871.40 is: 134,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858.60 : 218,442.30 = 89,871.40 : x
  2. Step 2: Convert to fraction form
    145,858.60/218,442.30 = 89,871.40/x
  3. Step 3: Cross multiply
    145,858.60x = 218,442.30 × 89,871.40
  4. Step 4: Simplify right side
    145,858.60x = 19,631,715,320.22
  5. Step 5: Solve for x
    x = 19,631,715,320.22/145,858.60
  6. Step 6: Final answer
    x = 134,594.16

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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.