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Finding the Fourth Proportional to 147,894.93, 221,798.59 and 41,253.17

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Solution

The fourth proportional to 147,894.93, 221,798.59 and 41,253.17 is: 61,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,894.93 : 221,798.59 = 41,253.17 : x
  2. Step 2: Convert to fraction form
    147,894.93/221,798.59 = 41,253.17/x
  3. Step 3: Cross multiply
    147,894.93x = 221,798.59 × 41,253.17
  4. Step 4: Simplify right side
    147,894.93x = 9,149,894,939.03
  5. Step 5: Solve for x
    x = 9,149,894,939.03/147,894.93
  6. Step 6: Final answer
    x = 61,867.54

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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.