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Finding the Fourth Proportional to 283,430.34, 391,117.05 and 156,102.66

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Solution

The fourth proportional to 283,430.34, 391,117.05 and 156,102.66 is: 215,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,430.34 : 391,117.05 = 156,102.66 : x
  2. Step 2: Convert to fraction form
    283,430.34/391,117.05 = 156,102.66/x
  3. Step 3: Cross multiply
    283,430.34x = 391,117.05 × 156,102.66
  4. Step 4: Simplify right side
    283,430.34x = 61,054,411,876.35
  5. Step 5: Solve for x
    x = 61,054,411,876.35/283,430.34
  6. Step 6: Final answer
    x = 215,412.41

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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.