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Finding the Fourth Proportional to 224,654.45, 310,023.32 and 144,081.72

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Solution

The fourth proportional to 224,654.45, 310,023.32 and 144,081.72 is: 198,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,654.45 : 310,023.32 = 144,081.72 : x
  2. Step 2: Convert to fraction form
    224,654.45/310,023.32 = 144,081.72/x
  3. Step 3: Cross multiply
    224,654.45x = 310,023.32 × 144,081.72
  4. Step 4: Simplify right side
    224,654.45x = 44,668,692,465.30
  5. Step 5: Solve for x
    x = 44,668,692,465.30/224,654.45
  6. Step 6: Final answer
    x = 198,832.89

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1.5x scale

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.