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Finding the Fourth Proportional to 213,380.38, 294,465.54 and 116,585.38

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Solution

The fourth proportional to 213,380.38, 294,465.54 and 116,585.38 is: 160,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,380.38 : 294,465.54 = 116,585.38 : x
  2. Step 2: Convert to fraction form
    213,380.38/294,465.54 = 116,585.38/x
  3. Step 3: Cross multiply
    213,380.38x = 294,465.54 × 116,585.38
  4. Step 4: Simplify right side
    213,380.38x = 34,330,376,877.81
  5. Step 5: Solve for x
    x = 34,330,376,877.81/213,380.38
  6. Step 6: Final answer
    x = 160,888.16

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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.