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Finding the Fourth Proportional to 146,165.58, 219,281.58 and 46,332

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Solution

The fourth proportional to 146,165.58, 219,281.58 and 46,332 is: 69,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,165.58 : 219,281.58 = 46,332 : x
  2. Step 2: Convert to fraction form
    146,165.58/219,281.58 = 46,332/x
  3. Step 3: Cross multiply
    146,165.58x = 219,281.58 × 46,332
  4. Step 4: Simplify right side
    146,165.58x = 10,159,754,164.56
  5. Step 5: Solve for x
    x = 10,159,754,164.56/146,165.58
  6. Step 6: Final answer
    x = 69,508.53

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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.