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Finding the Fourth Proportional to 229,225.60, 343,870.80 and 71,437.60

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Solution

The fourth proportional to 229,225.60, 343,870.80 and 71,437.60 is: 107,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,225.60 : 343,870.80 = 71,437.60 : x
  2. Step 2: Convert to fraction form
    229,225.60/343,870.80 = 71,437.60/x
  3. Step 3: Cross multiply
    229,225.60x = 343,870.80 × 71,437.60
  4. Step 4: Simplify right side
    229,225.60x = 24,565,304,662.08
  5. Step 5: Solve for x
    x = 24,565,304,662.08/229,225.60
  6. Step 6: Final answer
    x = 107,166.50

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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.