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Finding the Fourth Proportional to 105,875.84, 146,062.08 and 65,578.88

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Solution

The fourth proportional to 105,875.84, 146,062.08 and 65,578.88 is: 90,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,875.84 : 146,062.08 = 65,578.88 : x
  2. Step 2: Convert to fraction form
    105,875.84/146,062.08 = 65,578.88/x
  3. Step 3: Cross multiply
    105,875.84x = 146,062.08 × 65,578.88
  4. Step 4: Simplify right side
    105,875.84x = 9,578,587,616.87
  5. Step 5: Solve for x
    x = 9,578,587,616.87/105,875.84
  6. Step 6: Final answer
    x = 90,470.00

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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.