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Finding the Fourth Proportional to 259,263.68, 357,781.72 and 144,541

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Solution

The fourth proportional to 259,263.68, 357,781.72 and 144,541 is: 199,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,263.68 : 357,781.72 = 144,541 : x
  2. Step 2: Convert to fraction form
    259,263.68/357,781.72 = 144,541/x
  3. Step 3: Cross multiply
    259,263.68x = 357,781.72 × 144,541
  4. Step 4: Simplify right side
    259,263.68x = 51,714,127,590.52
  5. Step 5: Solve for x
    x = 51,714,127,590.52/259,263.68
  6. Step 6: Final answer
    x = 199,465.38

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1.5x scale

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.