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Finding the Fourth Proportional to 151,129.48, 208,558.70 and 83,145

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Solution

The fourth proportional to 151,129.48, 208,558.70 and 83,145 is: 114,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,129.48 : 208,558.70 = 83,145 : x
  2. Step 2: Convert to fraction form
    151,129.48/208,558.70 = 83,145/x
  3. Step 3: Cross multiply
    151,129.48x = 208,558.70 × 83,145
  4. Step 4: Simplify right side
    151,129.48x = 17,340,613,111.50
  5. Step 5: Solve for x
    x = 17,340,613,111.50/151,129.48
  6. Step 6: Final answer
    x = 114,740.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.