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Finding the Fourth Proportional to 260,155.32, 359,013.54 and 146,978.04

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Solution

The fourth proportional to 260,155.32, 359,013.54 and 146,978.04 is: 202,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,155.32 : 359,013.54 = 146,978.04 : x
  2. Step 2: Convert to fraction form
    260,155.32/359,013.54 = 146,978.04/x
  3. Step 3: Cross multiply
    260,155.32x = 359,013.54 × 146,978.04
  4. Step 4: Simplify right side
    260,155.32x = 52,767,106,442.66
  5. Step 5: Solve for x
    x = 52,767,106,442.66/260,155.32
  6. Step 6: Final answer
    x = 202,829.24

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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.