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Finding the Fourth Proportional to 116,151.66, 160,230.26 and 75,888.99

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Solution

The fourth proportional to 116,151.66, 160,230.26 and 75,888.99 is: 104,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,151.66 : 160,230.26 = 75,888.99 : x
  2. Step 2: Convert to fraction form
    116,151.66/160,230.26 = 75,888.99/x
  3. Step 3: Cross multiply
    116,151.66x = 160,230.26 × 75,888.99
  4. Step 4: Simplify right side
    116,151.66x = 12,159,712,598.84
  5. Step 5: Solve for x
    x = 12,159,712,598.84/116,151.66
  6. Step 6: Final answer
    x = 104,688.24

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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.