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Finding the Fourth Proportional to 152,233.98, 210,078.57 and 84,253.80

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Solution

The fourth proportional to 152,233.98, 210,078.57 and 84,253.80 is: 116,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,233.98 : 210,078.57 = 84,253.80 : x
  2. Step 2: Convert to fraction form
    152,233.98/210,078.57 = 84,253.80/x
  3. Step 3: Cross multiply
    152,233.98x = 210,078.57 × 84,253.80
  4. Step 4: Simplify right side
    152,233.98x = 17,699,917,821.07
  5. Step 5: Solve for x
    x = 17,699,917,821.07/152,233.98
  6. Step 6: Final answer
    x = 116,267.85

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1.5x scale

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.