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Finding the Fourth Proportional to 146,547, 219,820.15 and 96,263.42

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Solution

The fourth proportional to 146,547, 219,820.15 and 96,263.42 is: 144,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,547 : 219,820.15 = 96,263.42 : x
  2. Step 2: Convert to fraction form
    146,547/219,820.15 = 96,263.42/x
  3. Step 3: Cross multiply
    146,547x = 219,820.15 × 96,263.42
  4. Step 4: Simplify right side
    146,547x = 21,160,639,423.91
  5. Step 5: Solve for x
    x = 21,160,639,423.91/146,547
  6. Step 6: Final answer
    x = 144,394.90

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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.