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Finding the Fourth Proportional to 243,643.42, 365,219.78 and 101,567.36

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Solution

The fourth proportional to 243,643.42, 365,219.78 and 101,567.36 is: 152,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,643.42 : 365,219.78 = 101,567.36 : x
  2. Step 2: Convert to fraction form
    243,643.42/365,219.78 = 101,567.36/x
  3. Step 3: Cross multiply
    243,643.42x = 365,219.78 × 101,567.36
  4. Step 4: Simplify right side
    243,643.42x = 37,094,408,874.38
  5. Step 5: Solve for x
    x = 37,094,408,874.38/243,643.42
  6. Step 6: Final answer
    x = 152,248.76

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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.