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Finding the Fourth Proportional to 537,130.34, 805,695.69 and 137,771.07

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Solution

The fourth proportional to 537,130.34, 805,695.69 and 137,771.07 is: 206,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,130.34 : 805,695.69 = 137,771.07 : x
  2. Step 2: Convert to fraction form
    537,130.34/805,695.69 = 137,771.07/x
  3. Step 3: Cross multiply
    537,130.34x = 805,695.69 × 137,771.07
  4. Step 4: Simplify right side
    537,130.34x = 111,001,557,305.69
  5. Step 5: Solve for x
    x = 111,001,557,305.69/537,130.34
  6. Step 6: Final answer
    x = 206,656.65

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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.