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Finding the Fourth Proportional to 260,740.41, 359,841.42 and 146,013.21

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Solution

The fourth proportional to 260,740.41, 359,841.42 and 146,013.21 is: 201,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,740.41 : 359,841.42 = 146,013.21 : x
  2. Step 2: Convert to fraction form
    260,740.41/359,841.42 = 146,013.21/x
  3. Step 3: Cross multiply
    260,740.41x = 359,841.42 × 146,013.21
  4. Step 4: Simplify right side
    260,740.41x = 52,541,600,825.16
  5. Step 5: Solve for x
    x = 52,541,600,825.16/260,740.41
  6. Step 6: Final answer
    x = 201,509.24

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1.5x scale

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.