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Finding the Fourth Proportional to 152,432.38, 210,271.93 and 120,047.70

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Solution

The fourth proportional to 152,432.38, 210,271.93 and 120,047.70 is: 165,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,432.38 : 210,271.93 = 120,047.70 : x
  2. Step 2: Convert to fraction form
    152,432.38/210,271.93 = 120,047.70/x
  3. Step 3: Cross multiply
    152,432.38x = 210,271.93 × 120,047.70
  4. Step 4: Simplify right side
    152,432.38x = 25,242,660,454.11
  5. Step 5: Solve for x
    x = 25,242,660,454.11/152,432.38
  6. Step 6: Final answer
    x = 165,599.07

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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.