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Finding the Fourth Proportional to 243,113.16, 364,656.53 and 74,633.50

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Solution

The fourth proportional to 243,113.16, 364,656.53 and 74,633.50 is: 111,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,113.16 : 364,656.53 = 74,633.50 : x
  2. Step 2: Convert to fraction form
    243,113.16/364,656.53 = 74,633.50/x
  3. Step 3: Cross multiply
    243,113.16x = 364,656.53 × 74,633.50
  4. Step 4: Simplify right side
    243,113.16x = 27,215,593,774.16
  5. Step 5: Solve for x
    x = 27,215,593,774.16/243,113.16
  6. Step 6: Final answer
    x = 111,946.20

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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.