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Finding the Fourth Proportional to 160,029.86, 240,041.70 and 47,786.13

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Solution

The fourth proportional to 160,029.86, 240,041.70 and 47,786.13 is: 71,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,029.86 : 240,041.70 = 47,786.13 : x
  2. Step 2: Convert to fraction form
    160,029.86/240,041.70 = 47,786.13/x
  3. Step 3: Cross multiply
    160,029.86x = 240,041.70 × 47,786.13
  4. Step 4: Simplify right side
    160,029.86x = 11,470,663,881.62
  5. Step 5: Solve for x
    x = 11,470,663,881.62/160,029.86
  6. Step 6: Final answer
    x = 71,678.27

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1.5x scale

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.