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Finding the Fourth Proportional to 142,041.64, 213,157.50 and 58,935.64

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Solution

The fourth proportional to 142,041.64, 213,157.50 and 58,935.64 is: 88,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,041.64 : 213,157.50 = 58,935.64 : x
  2. Step 2: Convert to fraction form
    142,041.64/213,157.50 = 58,935.64/x
  3. Step 3: Cross multiply
    142,041.64x = 213,157.50 × 58,935.64
  4. Step 4: Simplify right side
    142,041.64x = 12,562,573,683.30
  5. Step 5: Solve for x
    x = 12,562,573,683.30/142,041.64
  6. Step 6: Final answer
    x = 88,442.89

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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.