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Finding the Fourth Proportional to 230,312.40, 317,685.73 and 158,567.86

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Solution

The fourth proportional to 230,312.40, 317,685.73 and 158,567.86 is: 218,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,312.40 : 317,685.73 = 158,567.86 : x
  2. Step 2: Convert to fraction form
    230,312.40/317,685.73 = 158,567.86/x
  3. Step 3: Cross multiply
    230,312.40x = 317,685.73 × 158,567.86
  4. Step 4: Simplify right side
    230,312.40x = 50,374,746,358.64
  5. Step 5: Solve for x
    x = 50,374,746,358.64/230,312.40
  6. Step 6: Final answer
    x = 218,723.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.