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Finding the Fourth Proportional to 243,718.74, 365,587.52 and 75,223.94

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Solution

The fourth proportional to 243,718.74, 365,587.52 and 75,223.94 is: 112,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,718.74 : 365,587.52 = 75,223.94 : x
  2. Step 2: Convert to fraction form
    243,718.74/365,587.52 = 75,223.94/x
  3. Step 3: Cross multiply
    243,718.74x = 365,587.52 × 75,223.94
  4. Step 4: Simplify right side
    243,718.74x = 27,500,931,465.17
  5. Step 5: Solve for x
    x = 27,500,931,465.17/243,718.74
  6. Step 6: Final answer
    x = 112,838.81

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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.