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Finding the Fourth Proportional to 162,219.40, 243,329.10 and 51,411.40

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Solution

The fourth proportional to 162,219.40, 243,329.10 and 51,411.40 is: 77,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,219.40 : 243,329.10 = 51,411.40 : x
  2. Step 2: Convert to fraction form
    162,219.40/243,329.10 = 51,411.40/x
  3. Step 3: Cross multiply
    162,219.40x = 243,329.10 × 51,411.40
  4. Step 4: Simplify right side
    162,219.40x = 12,509,889,691.74
  5. Step 5: Solve for x
    x = 12,509,889,691.74/162,219.40
  6. Step 6: Final answer
    x = 77,117.10

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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.