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Finding the Fourth Proportional to 106,315.52, 159,473.51 and 99,820.13

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Solution

The fourth proportional to 106,315.52, 159,473.51 and 99,820.13 is: 149,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.52 : 159,473.51 = 99,820.13 : x
  2. Step 2: Convert to fraction form
    106,315.52/159,473.51 = 99,820.13/x
  3. Step 3: Cross multiply
    106,315.52x = 159,473.51 × 99,820.13
  4. Step 4: Simplify right side
    106,315.52x = 15,918,666,499.76
  5. Step 5: Solve for x
    x = 15,918,666,499.76/106,315.52
  6. Step 6: Final answer
    x = 149,730.41

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1.5x scale

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.