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Finding the Fourth Proportional to 224,729.64, 310,251.48 and 153,214.74

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Solution

The fourth proportional to 224,729.64, 310,251.48 and 153,214.74 is: 211,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,729.64 : 310,251.48 = 153,214.74 : x
  2. Step 2: Convert to fraction form
    224,729.64/310,251.48 = 153,214.74/x
  3. Step 3: Cross multiply
    224,729.64x = 310,251.48 × 153,214.74
  4. Step 4: Simplify right side
    224,729.64x = 47,535,099,842.82
  5. Step 5: Solve for x
    x = 47,535,099,842.82/224,729.64
  6. Step 6: Final answer
    x = 211,521.27

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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.