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Finding the Fourth Proportional to 152,586.86, 210,568.84 and 84,603.87

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Solution

The fourth proportional to 152,586.86, 210,568.84 and 84,603.87 is: 116,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,586.86 : 210,568.84 = 84,603.87 : x
  2. Step 2: Convert to fraction form
    152,586.86/210,568.84 = 84,603.87/x
  3. Step 3: Cross multiply
    152,586.86x = 210,568.84 × 84,603.87
  4. Step 4: Simplify right side
    152,586.86x = 17,814,938,553.90
  5. Step 5: Solve for x
    x = 17,814,938,553.90/152,586.86
  6. Step 6: Final answer
    x = 116,752.77

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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.