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Finding the Fourth Proportional to 162,821.40, 244,289.70 and 157,061.40

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Solution

The fourth proportional to 162,821.40, 244,289.70 and 157,061.40 is: 235,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,821.40 : 244,289.70 = 157,061.40 : x
  2. Step 2: Convert to fraction form
    162,821.40/244,289.70 = 157,061.40/x
  3. Step 3: Cross multiply
    162,821.40x = 244,289.70 × 157,061.40
  4. Step 4: Simplify right side
    162,821.40x = 38,368,482,287.58
  5. Step 5: Solve for x
    x = 38,368,482,287.58/162,821.40
  6. Step 6: Final answer
    x = 235,647.66

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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.