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Finding the Fourth Proportional to 145,867.80, 218,840.58 and 52,374.36

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Solution

The fourth proportional to 145,867.80, 218,840.58 and 52,374.36 is: 78,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,867.80 : 218,840.58 = 52,374.36 : x
  2. Step 2: Convert to fraction form
    145,867.80/218,840.58 = 52,374.36/x
  3. Step 3: Cross multiply
    145,867.80x = 218,840.58 × 52,374.36
  4. Step 4: Simplify right side
    145,867.80x = 11,461,635,319.53
  5. Step 5: Solve for x
    x = 11,461,635,319.53/145,867.80
  6. Step 6: Final answer
    x = 78,575.50

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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.