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Finding the Fourth Proportional to 224,031.12, 335,696.60 and 140,750.16

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Solution

The fourth proportional to 224,031.12, 335,696.60 and 140,750.16 is: 210,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,031.12 : 335,696.60 = 140,750.16 : x
  2. Step 2: Convert to fraction form
    224,031.12/335,696.60 = 140,750.16/x
  3. Step 3: Cross multiply
    224,031.12x = 335,696.60 × 140,750.16
  4. Step 4: Simplify right side
    224,031.12x = 47,249,349,254.47
  5. Step 5: Solve for x
    x = 47,249,349,254.47/224,031.12
  6. Step 6: Final answer
    x = 210,905.30

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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.