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Finding the Fourth Proportional to 96,525.96, 144,501.66 and 86,389.08

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Solution

The fourth proportional to 96,525.96, 144,501.66 and 86,389.08 is: 129,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,525.96 : 144,501.66 = 86,389.08 : x
  2. Step 2: Convert to fraction form
    96,525.96/144,501.66 = 86,389.08/x
  3. Step 3: Cross multiply
    96,525.96x = 144,501.66 × 86,389.08
  4. Step 4: Simplify right side
    96,525.96x = 12,483,365,465.87
  5. Step 5: Solve for x
    x = 12,483,365,465.87/96,525.96
  6. Step 6: Final answer
    x = 129,326.51

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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.