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Finding the Fourth Proportional to 142,334.83, 213,506 and 62,331.64

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Solution

The fourth proportional to 142,334.83, 213,506 and 62,331.64 is: 93,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,334.83 : 213,506 = 62,331.64 : x
  2. Step 2: Convert to fraction form
    142,334.83/213,506 = 62,331.64/x
  3. Step 3: Cross multiply
    142,334.83x = 213,506 × 62,331.64
  4. Step 4: Simplify right side
    142,334.83x = 13,308,179,129.84
  5. Step 5: Solve for x
    x = 13,308,179,129.84/142,334.83
  6. Step 6: Final answer
    x = 93,499.10

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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.