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Finding the Fourth Proportional to 102,064.33, 152,808.93 and 77,024.80

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Solution

The fourth proportional to 102,064.33, 152,808.93 and 77,024.80 is: 115,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.33 : 152,808.93 = 77,024.80 : x
  2. Step 2: Convert to fraction form
    102,064.33/152,808.93 = 77,024.80/x
  3. Step 3: Cross multiply
    102,064.33x = 152,808.93 × 77,024.80
  4. Step 4: Simplify right side
    102,064.33x = 11,770,077,271.46
  5. Step 5: Solve for x
    x = 11,770,077,271.46/102,064.33
  6. Step 6: Final answer
    x = 115,320.18

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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.