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Finding the Fourth Proportional to 249,911.22, 344,767.94 and 146,493.01

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Solution

The fourth proportional to 249,911.22, 344,767.94 and 146,493.01 is: 202,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,911.22 : 344,767.94 = 146,493.01 : x
  2. Step 2: Convert to fraction form
    249,911.22/344,767.94 = 146,493.01/x
  3. Step 3: Cross multiply
    249,911.22x = 344,767.94 × 146,493.01
  4. Step 4: Simplify right side
    249,911.22x = 50,506,092,414.65
  5. Step 5: Solve for x
    x = 50,506,092,414.65/249,911.22
  6. Step 6: Final answer
    x = 202,096.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.