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Finding the Fourth Proportional to 223,827.20, 336,129.60 and 118,851.20

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Solution

The fourth proportional to 223,827.20, 336,129.60 and 118,851.20 is: 178,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,827.20 : 336,129.60 = 118,851.20 : x
  2. Step 2: Convert to fraction form
    223,827.20/336,129.60 = 118,851.20/x
  3. Step 3: Cross multiply
    223,827.20x = 336,129.60 × 118,851.20
  4. Step 4: Simplify right side
    223,827.20x = 39,949,406,315.52
  5. Step 5: Solve for x
    x = 39,949,406,315.52/223,827.20
  6. Step 6: Final answer
    x = 178,483.25

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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.