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Finding the Fourth Proportional to 148,498.56, 222,703.68 and 43,284

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Solution

The fourth proportional to 148,498.56, 222,703.68 and 43,284 is: 64,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,498.56 : 222,703.68 = 43,284 : x
  2. Step 2: Convert to fraction form
    148,498.56/222,703.68 = 43,284/x
  3. Step 3: Cross multiply
    148,498.56x = 222,703.68 × 43,284
  4. Step 4: Simplify right side
    148,498.56x = 9,639,506,085.12
  5. Step 5: Solve for x
    x = 9,639,506,085.12/148,498.56
  6. Step 6: Final answer
    x = 64,913.13

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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.