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Finding the Fourth Proportional to 295,258.42, 442,221.76 and 137,154.16

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Solution

The fourth proportional to 295,258.42, 442,221.76 and 137,154.16 is: 205,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,258.42 : 442,221.76 = 137,154.16 : x
  2. Step 2: Convert to fraction form
    295,258.42/442,221.76 = 137,154.16/x
  3. Step 3: Cross multiply
    295,258.42x = 442,221.76 × 137,154.16
  4. Step 4: Simplify right side
    295,258.42x = 60,652,551,129.64
  5. Step 5: Solve for x
    x = 60,652,551,129.64/295,258.42
  6. Step 6: Final answer
    x = 205,421.92

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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.