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Finding the Fourth Proportional to 224,989.02, 310,488.16 and 152,414.10

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Solution

The fourth proportional to 224,989.02, 310,488.16 and 152,414.10 is: 210,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,989.02 : 310,488.16 = 152,414.10 : x
  2. Step 2: Convert to fraction form
    224,989.02/310,488.16 = 152,414.10/x
  3. Step 3: Cross multiply
    224,989.02x = 310,488.16 × 152,414.10
  4. Step 4: Simplify right side
    224,989.02x = 47,322,773,467.06
  5. Step 5: Solve for x
    x = 47,322,773,467.06/224,989.02
  6. Step 6: Final answer
    x = 210,333.70

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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.