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Finding the Fourth Proportional to 233,415.44, 322,095.12 and 137,904.02

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Solution

The fourth proportional to 233,415.44, 322,095.12 and 137,904.02 is: 190,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,415.44 : 322,095.12 = 137,904.02 : x
  2. Step 2: Convert to fraction form
    233,415.44/322,095.12 = 137,904.02/x
  3. Step 3: Cross multiply
    233,415.44x = 322,095.12 × 137,904.02
  4. Step 4: Simplify right side
    233,415.44x = 44,418,211,870.38
  5. Step 5: Solve for x
    x = 44,418,211,870.38/233,415.44
  6. Step 6: Final answer
    x = 190,296.80

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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.