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Finding the Fourth Proportional to 153,107.54, 229,646.46 and 46,492.42

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Solution

The fourth proportional to 153,107.54, 229,646.46 and 46,492.42 is: 69,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107.54 : 229,646.46 = 46,492.42 : x
  2. Step 2: Convert to fraction form
    153,107.54/229,646.46 = 46,492.42/x
  3. Step 3: Cross multiply
    153,107.54x = 229,646.46 × 46,492.42
  4. Step 4: Simplify right side
    153,107.54x = 10,676,819,382.78
  5. Step 5: Solve for x
    x = 10,676,819,382.78/153,107.54
  6. Step 6: Final answer
    x = 69,734.12

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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.