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Finding the Fourth Proportional to 233,182.80, 321,782.76 and 137,720.40

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Solution

The fourth proportional to 233,182.80, 321,782.76 and 137,720.40 is: 190,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,182.80 : 321,782.76 = 137,720.40 : x
  2. Step 2: Convert to fraction form
    233,182.80/321,782.76 = 137,720.40/x
  3. Step 3: Cross multiply
    233,182.80x = 321,782.76 × 137,720.40
  4. Step 4: Simplify right side
    233,182.80x = 44,316,050,420.30
  5. Step 5: Solve for x
    x = 44,316,050,420.30/233,182.80
  6. Step 6: Final answer
    x = 190,048.54

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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.