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Finding the Fourth Proportional to 233,376.91, 322,064.25 and 137,883.40

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Solution

The fourth proportional to 233,376.91, 322,064.25 and 137,883.40 is: 190,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,376.91 : 322,064.25 = 137,883.40 : x
  2. Step 2: Convert to fraction form
    233,376.91/322,064.25 = 137,883.40/x
  3. Step 3: Cross multiply
    233,376.91x = 322,064.25 × 137,883.40
  4. Step 4: Simplify right side
    233,376.91x = 44,407,313,808.45
  5. Step 5: Solve for x
    x = 44,407,313,808.45/233,376.91
  6. Step 6: Final answer
    x = 190,281.52

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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.