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Finding the Fourth Proportional to 233,036.80, 321,507.84 and 137,495.68

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Solution

The fourth proportional to 233,036.80, 321,507.84 and 137,495.68 is: 189,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,036.80 : 321,507.84 = 137,495.68 : x
  2. Step 2: Convert to fraction form
    233,036.80/321,507.84 = 137,495.68/x
  3. Step 3: Cross multiply
    233,036.80x = 321,507.84 × 137,495.68
  4. Step 4: Simplify right side
    233,036.80x = 44,205,939,086.13
  5. Step 5: Solve for x
    x = 44,205,939,086.13/233,036.80
  6. Step 6: Final answer
    x = 189,695.10

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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.