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Finding the Fourth Proportional to 103,262.16, 154,874.82 and 65,710.77

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Solution

The fourth proportional to 103,262.16, 154,874.82 and 65,710.77 is: 98,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,262.16 : 154,874.82 = 65,710.77 : x
  2. Step 2: Convert to fraction form
    103,262.16/154,874.82 = 65,710.77/x
  3. Step 3: Cross multiply
    103,262.16x = 154,874.82 × 65,710.77
  4. Step 4: Simplify right side
    103,262.16x = 10,176,943,675.81
  5. Step 5: Solve for x
    x = 10,176,943,675.81/103,262.16
  6. Step 6: Final answer
    x = 98,554.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.