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Finding the Fourth Proportional to 192,502.81, 265,686.69 and 111,977.02

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Solution

The fourth proportional to 192,502.81, 265,686.69 and 111,977.02 is: 154,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,502.81 : 265,686.69 = 111,977.02 : x
  2. Step 2: Convert to fraction form
    192,502.81/265,686.69 = 111,977.02/x
  3. Step 3: Cross multiply
    192,502.81x = 265,686.69 × 111,977.02
  4. Step 4: Simplify right side
    192,502.81x = 29,750,803,799.86
  5. Step 5: Solve for x
    x = 29,750,803,799.86/192,502.81
  6. Step 6: Final answer
    x = 154,547.37

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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.