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Finding the Fourth Proportional to 205,018.07, 282,956.09 and 124,430.03

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Solution

The fourth proportional to 205,018.07, 282,956.09 and 124,430.03 is: 171,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.07 : 282,956.09 = 124,430.03 : x
  2. Step 2: Convert to fraction form
    205,018.07/282,956.09 = 124,430.03/x
  3. Step 3: Cross multiply
    205,018.07x = 282,956.09 × 124,430.03
  4. Step 4: Simplify right side
    205,018.07x = 35,208,234,767.38
  5. Step 5: Solve for x
    x = 35,208,234,767.38/205,018.07
  6. Step 6: Final answer
    x = 171,732.35

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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.