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Finding the Fourth Proportional to 283,356.16, 391,017.46 and 156,007.96

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Solution

The fourth proportional to 283,356.16, 391,017.46 and 156,007.96 is: 215,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,356.16 : 391,017.46 = 156,007.96 : x
  2. Step 2: Convert to fraction form
    283,356.16/391,017.46 = 156,007.96/x
  3. Step 3: Cross multiply
    283,356.16x = 391,017.46 × 156,007.96
  4. Step 4: Simplify right side
    283,356.16x = 61,001,834,303.89
  5. Step 5: Solve for x
    x = 61,001,834,303.89/283,356.16
  6. Step 6: Final answer
    x = 215,283.25

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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.