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Finding the Fourth Proportional to 153,507.81, 230,062.98 and 106,047.17

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Solution

The fourth proportional to 153,507.81, 230,062.98 and 106,047.17 is: 158,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,507.81 : 230,062.98 = 106,047.17 : x
  2. Step 2: Convert to fraction form
    153,507.81/230,062.98 = 106,047.17/x
  3. Step 3: Cross multiply
    153,507.81x = 230,062.98 × 106,047.17
  4. Step 4: Simplify right side
    153,507.81x = 24,397,529,354.97
  5. Step 5: Solve for x
    x = 24,397,529,354.97/153,507.81
  6. Step 6: Final answer
    x = 158,933.47

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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.