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Finding the Fourth Proportional to 162,085.83, 242,962.47 and 62,219.13

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Solution

The fourth proportional to 162,085.83, 242,962.47 and 62,219.13 is: 93,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,085.83 : 242,962.47 = 62,219.13 : x
  2. Step 2: Convert to fraction form
    162,085.83/242,962.47 = 62,219.13/x
  3. Step 3: Cross multiply
    162,085.83x = 242,962.47 × 62,219.13
  4. Step 4: Simplify right side
    162,085.83x = 15,116,913,506.05
  5. Step 5: Solve for x
    x = 15,116,913,506.05/162,085.83
  6. Step 6: Final answer
    x = 93,264.87

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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.