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Finding the Fourth Proportional to 109,497.66, 164,264.25 and 42,901.68

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Solution

The fourth proportional to 109,497.66, 164,264.25 and 42,901.68 is: 64,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497.66 : 164,264.25 = 42,901.68 : x
  2. Step 2: Convert to fraction form
    109,497.66/164,264.25 = 42,901.68/x
  3. Step 3: Cross multiply
    109,497.66x = 164,264.25 × 42,901.68
  4. Step 4: Simplify right side
    109,497.66x = 7,047,213,065.81
  5. Step 5: Solve for x
    x = 7,047,213,065.81/109,497.66
  6. Step 6: Final answer
    x = 64,359.49

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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.