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Finding the Fourth Proportional to 307,271.64, 461,050.02 and 129,820.08

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Solution

The fourth proportional to 307,271.64, 461,050.02 and 129,820.08 is: 194,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,271.64 : 461,050.02 = 129,820.08 : x
  2. Step 2: Convert to fraction form
    307,271.64/461,050.02 = 129,820.08/x
  3. Step 3: Cross multiply
    307,271.64x = 461,050.02 × 129,820.08
  4. Step 4: Simplify right side
    307,271.64x = 59,853,550,480.40
  5. Step 5: Solve for x
    x = 59,853,550,480.40/307,271.64
  6. Step 6: Final answer
    x = 194,790.35

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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.