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Finding the Fourth Proportional to 585,041.13, 877,561.69 and 141,809.13

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Solution

The fourth proportional to 585,041.13, 877,561.69 and 141,809.13 is: 212,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,041.13 : 877,561.69 = 141,809.13 : x
  2. Step 2: Convert to fraction form
    585,041.13/877,561.69 = 141,809.13/x
  3. Step 3: Cross multiply
    585,041.13x = 877,561.69 × 141,809.13
  4. Step 4: Simplify right side
    585,041.13x = 124,446,259,780.23
  5. Step 5: Solve for x
    x = 124,446,259,780.23/585,041.13
  6. Step 6: Final answer
    x = 212,713.69

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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.