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Finding the Fourth Proportional to 151,025.79, 208,416.38 and 83,047.16

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Solution

The fourth proportional to 151,025.79, 208,416.38 and 83,047.16 is: 114,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,025.79 : 208,416.38 = 83,047.16 : x
  2. Step 2: Convert to fraction form
    151,025.79/208,416.38 = 83,047.16/x
  3. Step 3: Cross multiply
    151,025.79x = 208,416.38 × 83,047.16
  4. Step 4: Simplify right side
    151,025.79x = 17,308,386,999.16
  5. Step 5: Solve for x
    x = 17,308,386,999.16/151,025.79
  6. Step 6: Final answer
    x = 114,605.51

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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.