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Finding the Fourth Proportional to 106,353.42, 146,767.98 and 57,955.71

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Solution

The fourth proportional to 106,353.42, 146,767.98 and 57,955.71 is: 79,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,353.42 : 146,767.98 = 57,955.71 : x
  2. Step 2: Convert to fraction form
    106,353.42/146,767.98 = 57,955.71/x
  3. Step 3: Cross multiply
    106,353.42x = 146,767.98 × 57,955.71
  4. Step 4: Simplify right side
    106,353.42x = 8,506,042,486.17
  5. Step 5: Solve for x
    x = 8,506,042,486.17/106,353.42
  6. Step 6: Final answer
    x = 79,979.02

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1.5x scale

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.