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Finding the Fourth Proportional to 261,108.12, 360,326.12 and 146,386.20

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Solution

The fourth proportional to 261,108.12, 360,326.12 and 146,386.20 is: 202,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,108.12 : 360,326.12 = 146,386.20 : x
  2. Step 2: Convert to fraction form
    261,108.12/360,326.12 = 146,386.20/x
  3. Step 3: Cross multiply
    261,108.12x = 360,326.12 × 146,386.20
  4. Step 4: Simplify right side
    261,108.12x = 52,746,771,467.54
  5. Step 5: Solve for x
    x = 52,746,771,467.54/261,108.12
  6. Step 6: Final answer
    x = 202,011.23

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