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Finding the Fourth Proportional to 261,239.19, 360,514.20 and 146,543.33

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Solution

The fourth proportional to 261,239.19, 360,514.20 and 146,543.33 is: 202,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,239.19 : 360,514.20 = 146,543.33 : x
  2. Step 2: Convert to fraction form
    261,239.19/360,514.20 = 146,543.33/x
  3. Step 3: Cross multiply
    261,239.19x = 360,514.20 × 146,543.33
  4. Step 4: Simplify right side
    261,239.19x = 52,830,949,577.72
  5. Step 5: Solve for x
    x = 52,830,949,577.72/261,239.19
  6. Step 6: Final answer
    x = 202,232.10

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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.