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Finding the Fourth Proportional to 116,065.76, 160,111.80 and 75,803.09

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Solution

The fourth proportional to 116,065.76, 160,111.80 and 75,803.09 is: 104,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,065.76 : 160,111.80 = 75,803.09 : x
  2. Step 2: Convert to fraction form
    116,065.76/160,111.80 = 75,803.09/x
  3. Step 3: Cross multiply
    116,065.76x = 160,111.80 × 75,803.09
  4. Step 4: Simplify right side
    116,065.76x = 12,136,969,585.74
  5. Step 5: Solve for x
    x = 12,136,969,585.74/116,065.76
  6. Step 6: Final answer
    x = 104,569.77

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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.