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Finding the Fourth Proportional to 155,409.48, 214,465.90 and 91,778.64

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Solution

The fourth proportional to 155,409.48, 214,465.90 and 91,778.64 is: 126,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,409.48 : 214,465.90 = 91,778.64 : x
  2. Step 2: Convert to fraction form
    155,409.48/214,465.90 = 91,778.64/x
  3. Step 3: Cross multiply
    155,409.48x = 214,465.90 × 91,778.64
  4. Step 4: Simplify right side
    155,409.48x = 19,683,388,628.38
  5. Step 5: Solve for x
    x = 19,683,388,628.38/155,409.48
  6. Step 6: Final answer
    x = 126,655.01

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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.