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Finding the Fourth Proportional to 160,166.54, 240,271.88 and 54,971.84

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Solution

The fourth proportional to 160,166.54, 240,271.88 and 54,971.84 is: 82,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,166.54 : 240,271.88 = 54,971.84 : x
  2. Step 2: Convert to fraction form
    160,166.54/240,271.88 = 54,971.84/x
  3. Step 3: Cross multiply
    160,166.54x = 240,271.88 × 54,971.84
  4. Step 4: Simplify right side
    160,166.54x = 13,208,187,343.86
  5. Step 5: Solve for x
    x = 13,208,187,343.86/160,166.54
  6. Step 6: Final answer
    x = 82,465.33

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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.