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Finding the Fourth Proportional to 283,885.83, 391,762.26 and 156,561.48

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Solution

The fourth proportional to 283,885.83, 391,762.26 and 156,561.48 is: 216,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,885.83 : 391,762.26 = 156,561.48 : x
  2. Step 2: Convert to fraction form
    283,885.83/391,762.26 = 156,561.48/x
  3. Step 3: Cross multiply
    283,885.83x = 391,762.26 × 156,561.48
  4. Step 4: Simplify right side
    283,885.83x = 61,334,879,233.74
  5. Step 5: Solve for x
    x = 61,334,879,233.74/283,885.83
  6. Step 6: Final answer
    x = 216,054.74

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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.