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Finding the Fourth Proportional to 224,347.10, 336,447.80 and 74,547.16

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Solution

The fourth proportional to 224,347.10, 336,447.80 and 74,547.16 is: 111,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,347.10 : 336,447.80 = 74,547.16 : x
  2. Step 2: Convert to fraction form
    224,347.10/336,447.80 = 74,547.16/x
  3. Step 3: Cross multiply
    224,347.10x = 336,447.80 × 74,547.16
  4. Step 4: Simplify right side
    224,347.10x = 25,081,227,978.25
  5. Step 5: Solve for x
    x = 25,081,227,978.25/224,347.10
  6. Step 6: Final answer
    x = 111,796.53

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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.