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Finding the Fourth Proportional to 195,859.20, 293,798.40 and 102,547.20

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Solution

The fourth proportional to 195,859.20, 293,798.40 and 102,547.20 is: 153,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,859.20 : 293,798.40 = 102,547.20 : x
  2. Step 2: Convert to fraction form
    195,859.20/293,798.40 = 102,547.20/x
  3. Step 3: Cross multiply
    195,859.20x = 293,798.40 × 102,547.20
  4. Step 4: Simplify right side
    195,859.20x = 30,128,203,284.48
  5. Step 5: Solve for x
    x = 30,128,203,284.48/195,859.20
  6. Step 6: Final answer
    x = 153,825.83

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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.