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Finding the Fourth Proportional to 233,852.92, 322,720.14 and 138,357.16

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Solution

The fourth proportional to 233,852.92, 322,720.14 and 138,357.16 is: 190,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,852.92 : 322,720.14 = 138,357.16 : x
  2. Step 2: Convert to fraction form
    233,852.92/322,720.14 = 138,357.16/x
  3. Step 3: Cross multiply
    233,852.92x = 322,720.14 × 138,357.16
  4. Step 4: Simplify right side
    233,852.92x = 44,650,642,045.20
  5. Step 5: Solve for x
    x = 44,650,642,045.20/233,852.92
  6. Step 6: Final answer
    x = 190,934.72

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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.