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Finding the Fourth Proportional to 224,670.72, 310,094.04 and 153,221.04

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Solution

The fourth proportional to 224,670.72, 310,094.04 and 153,221.04 is: 211,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,670.72 : 310,094.04 = 153,221.04 : x
  2. Step 2: Convert to fraction form
    224,670.72/310,094.04 = 153,221.04/x
  3. Step 3: Cross multiply
    224,670.72x = 310,094.04 × 153,221.04
  4. Step 4: Simplify right side
    224,670.72x = 47,512,931,306.60
  5. Step 5: Solve for x
    x = 47,512,931,306.60/224,670.72
  6. Step 6: Final answer
    x = 211,478.07

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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.