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Finding the Fourth Proportional to 152,850.84, 210,935 and 84,866.84

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Solution

The fourth proportional to 152,850.84, 210,935 and 84,866.84 is: 117,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,850.84 : 210,935 = 84,866.84 : x
  2. Step 2: Convert to fraction form
    152,850.84/210,935 = 84,866.84/x
  3. Step 3: Cross multiply
    152,850.84x = 210,935 × 84,866.84
  4. Step 4: Simplify right side
    152,850.84x = 17,901,386,895.40
  5. Step 5: Solve for x
    x = 17,901,386,895.40/152,850.84
  6. Step 6: Final answer
    x = 117,116.71

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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.