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Finding the Fourth Proportional to 228,565.80, 342,848.70 and 70,842.60

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Solution

The fourth proportional to 228,565.80, 342,848.70 and 70,842.60 is: 106,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,565.80 : 342,848.70 = 70,842.60 : x
  2. Step 2: Convert to fraction form
    228,565.80/342,848.70 = 70,842.60/x
  3. Step 3: Cross multiply
    228,565.80x = 342,848.70 × 70,842.60
  4. Step 4: Simplify right side
    228,565.80x = 24,288,293,314.62
  5. Step 5: Solve for x
    x = 24,288,293,314.62/228,565.80
  6. Step 6: Final answer
    x = 106,263.90

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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.