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Finding the Fourth Proportional to 193,547.95, 290,208.93 and 75,080.86

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Solution

The fourth proportional to 193,547.95, 290,208.93 and 75,080.86 is: 112,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,547.95 : 290,208.93 = 75,080.86 : x
  2. Step 2: Convert to fraction form
    193,547.95/290,208.93 = 75,080.86/x
  3. Step 3: Cross multiply
    193,547.95x = 290,208.93 × 75,080.86
  4. Step 4: Simplify right side
    193,547.95x = 21,789,136,044.08
  5. Step 5: Solve for x
    x = 21,789,136,044.08/193,547.95
  6. Step 6: Final answer
    x = 112,577.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.