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Finding the Fourth Proportional to 151,092, 208,506.96 and 84,024

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Solution

The fourth proportional to 151,092, 208,506.96 and 84,024 is: 115,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,092 : 208,506.96 = 84,024 : x
  2. Step 2: Convert to fraction form
    151,092/208,506.96 = 84,024/x
  3. Step 3: Cross multiply
    151,092x = 208,506.96 × 84,024
  4. Step 4: Simplify right side
    151,092x = 17,519,588,807.04
  5. Step 5: Solve for x
    x = 17,519,588,807.04/151,092
  6. Step 6: Final answer
    x = 115,953.12

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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.