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Finding the Fourth Proportional to 151,052.93, 208,458.53 and 86,534.64

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Solution

The fourth proportional to 151,052.93, 208,458.53 and 86,534.64 is: 119,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,052.93 : 208,458.53 = 86,534.64 : x
  2. Step 2: Convert to fraction form
    151,052.93/208,458.53 = 86,534.64/x
  3. Step 3: Cross multiply
    151,052.93x = 208,458.53 × 86,534.64
  4. Step 4: Simplify right side
    151,052.93x = 18,038,883,120.84
  5. Step 5: Solve for x
    x = 18,038,883,120.84/151,052.93
  6. Step 6: Final answer
    x = 119,420.94

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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.