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Finding the Fourth Proportional to 159,102.91, 238,678.92 and 99,085.45

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Solution

The fourth proportional to 159,102.91, 238,678.92 and 99,085.45 is: 148,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.91 : 238,678.92 = 99,085.45 : x
  2. Step 2: Convert to fraction form
    159,102.91/238,678.92 = 99,085.45/x
  3. Step 3: Cross multiply
    159,102.91x = 238,678.92 × 99,085.45
  4. Step 4: Simplify right side
    159,102.91x = 23,649,608,193.71
  5. Step 5: Solve for x
    x = 23,649,608,193.71/159,102.91
  6. Step 6: Final answer
    x = 148,643.47

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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.