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Finding the Fourth Proportional to 158,315.96, 237,457.34 and 83,405.95

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Solution

The fourth proportional to 158,315.96, 237,457.34 and 83,405.95 is: 125,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,315.96 : 237,457.34 = 83,405.95 : x
  2. Step 2: Convert to fraction form
    158,315.96/237,457.34 = 83,405.95/x
  3. Step 3: Cross multiply
    158,315.96x = 237,457.34 × 83,405.95
  4. Step 4: Simplify right side
    158,315.96x = 19,805,354,329.27
  5. Step 5: Solve for x
    x = 19,805,354,329.27/158,315.96
  6. Step 6: Final answer
    x = 125,100.17

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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.