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Finding the Fourth Proportional to 185,095.19, 255,184.34 and 146,980.90

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Solution

The fourth proportional to 185,095.19, 255,184.34 and 146,980.90 is: 202,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,095.19 : 255,184.34 = 146,980.90 : x
  2. Step 2: Convert to fraction form
    185,095.19/255,184.34 = 146,980.90/x
  3. Step 3: Cross multiply
    185,095.19x = 255,184.34 × 146,980.90
  4. Step 4: Simplify right side
    185,095.19x = 37,507,222,934.54
  5. Step 5: Solve for x
    x = 37,507,222,934.54/185,095.19
  6. Step 6: Final answer
    x = 202,637.48

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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.