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Finding the Fourth Proportional to 106,952.96, 147,602.03 and 59,206.29

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Solution

The fourth proportional to 106,952.96, 147,602.03 and 59,206.29 is: 81,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.96 : 147,602.03 = 59,206.29 : x
  2. Step 2: Convert to fraction form
    106,952.96/147,602.03 = 59,206.29/x
  3. Step 3: Cross multiply
    106,952.96x = 147,602.03 × 59,206.29
  4. Step 4: Simplify right side
    106,952.96x = 8,738,968,296.74
  5. Step 5: Solve for x
    x = 8,738,968,296.74/106,952.96
  6. Step 6: Final answer
    x = 81,708.53

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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.