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Finding the Fourth Proportional to 195,616.08, 293,468.13 and 105,656.94

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Solution

The fourth proportional to 195,616.08, 293,468.13 and 105,656.94 is: 158,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,616.08 : 293,468.13 = 105,656.94 : x
  2. Step 2: Convert to fraction form
    195,616.08/293,468.13 = 105,656.94/x
  3. Step 3: Cross multiply
    195,616.08x = 293,468.13 × 105,656.94
  4. Step 4: Simplify right side
    195,616.08x = 31,006,944,603.32
  5. Step 5: Solve for x
    x = 31,006,944,603.32/195,616.08
  6. Step 6: Final answer
    x = 158,509.18

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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.