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Finding the Fourth Proportional to 114,264.39, 157,683.92 and 65,848.65

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Solution

The fourth proportional to 114,264.39, 157,683.92 and 65,848.65 is: 90,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264.39 : 157,683.92 = 65,848.65 : x
  2. Step 2: Convert to fraction form
    114,264.39/157,683.92 = 65,848.65/x
  3. Step 3: Cross multiply
    114,264.39x = 157,683.92 × 65,848.65
  4. Step 4: Simplify right side
    114,264.39x = 10,383,272,929.46
  5. Step 5: Solve for x
    x = 10,383,272,929.46/114,264.39
  6. Step 6: Final answer
    x = 90,870.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.