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Finding the Fourth Proportional to 585,182, 877,773.36 and 141,950

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Solution

The fourth proportional to 585,182, 877,773.36 and 141,950 is: 212,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,182 : 877,773.36 = 141,950 : x
  2. Step 2: Convert to fraction form
    585,182/877,773.36 = 141,950/x
  3. Step 3: Cross multiply
    585,182x = 877,773.36 × 141,950
  4. Step 4: Simplify right side
    585,182x = 124,599,928,452
  5. Step 5: Solve for x
    x = 124,599,928,452/585,182
  6. Step 6: Final answer
    x = 212,925.09

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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.