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Finding the Fourth Proportional to 106,606.71, 146,981.67 and 75,495

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Solution

The fourth proportional to 106,606.71, 146,981.67 and 75,495 is: 104,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.71 : 146,981.67 = 75,495 : x
  2. Step 2: Convert to fraction form
    106,606.71/146,981.67 = 75,495/x
  3. Step 3: Cross multiply
    106,606.71x = 146,981.67 × 75,495
  4. Step 4: Simplify right side
    106,606.71x = 11,096,381,176.65
  5. Step 5: Solve for x
    x = 11,096,381,176.65/106,606.71
  6. Step 6: Final answer
    x = 104,087.08

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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.