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Finding the Fourth Proportional to 162,994, 224,932.24 and 90,402.08

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Solution

The fourth proportional to 162,994, 224,932.24 and 90,402.08 is: 124,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,994 : 224,932.24 = 90,402.08 : x
  2. Step 2: Convert to fraction form
    162,994/224,932.24 = 90,402.08/x
  3. Step 3: Cross multiply
    162,994x = 224,932.24 × 90,402.08
  4. Step 4: Simplify right side
    162,994x = 20,334,342,355.06
  5. Step 5: Solve for x
    x = 20,334,342,355.06/162,994
  6. Step 6: Final answer
    x = 124,755.16

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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.