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Finding the Fourth Proportional to 260,913.12, 359,978.52 and 146,176.40

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Solution

The fourth proportional to 260,913.12, 359,978.52 and 146,176.40 is: 201,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913.12 : 359,978.52 = 146,176.40 : x
  2. Step 2: Convert to fraction form
    260,913.12/359,978.52 = 146,176.40/x
  3. Step 3: Cross multiply
    260,913.12x = 359,978.52 × 146,176.40
  4. Step 4: Simplify right side
    260,913.12x = 52,620,364,130.93
  5. Step 5: Solve for x
    x = 52,620,364,130.93/260,913.12
  6. Step 6: Final answer
    x = 201,677.72

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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.