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Finding the Fourth Proportional to 192,509.93, 265,734.05 and 116,031.76

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Solution

The fourth proportional to 192,509.93, 265,734.05 and 116,031.76 is: 160,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.93 : 265,734.05 = 116,031.76 : x
  2. Step 2: Convert to fraction form
    192,509.93/265,734.05 = 116,031.76/x
  3. Step 3: Cross multiply
    192,509.93x = 265,734.05 × 116,031.76
  4. Step 4: Simplify right side
    192,509.93x = 30,833,588,268.93
  5. Step 5: Solve for x
    x = 30,833,588,268.93/192,509.93
  6. Step 6: Final answer
    x = 160,166.22

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1.5x scale

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.