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Finding the Fourth Proportional to 153,766.25, 230,688.27 and 42,958.25

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Solution

The fourth proportional to 153,766.25, 230,688.27 and 42,958.25 is: 64,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,766.25 : 230,688.27 = 42,958.25 : x
  2. Step 2: Convert to fraction form
    153,766.25/230,688.27 = 42,958.25/x
  3. Step 3: Cross multiply
    153,766.25x = 230,688.27 × 42,958.25
  4. Step 4: Simplify right side
    153,766.25x = 9,909,964,374.73
  5. Step 5: Solve for x
    x = 9,909,964,374.73/153,766.25
  6. Step 6: Final answer
    x = 64,448.24

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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.