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Finding the Fourth Proportional to 107,333.32, 160,790.54 and 70,285

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Solution

The fourth proportional to 107,333.32, 160,790.54 and 70,285 is: 105,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,333.32 : 160,790.54 = 70,285 : x
  2. Step 2: Convert to fraction form
    107,333.32/160,790.54 = 70,285/x
  3. Step 3: Cross multiply
    107,333.32x = 160,790.54 × 70,285
  4. Step 4: Simplify right side
    107,333.32x = 11,301,163,103.90
  5. Step 5: Solve for x
    x = 11,301,163,103.90/107,333.32
  6. Step 6: Final answer
    x = 105,290.35

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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.