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Finding the Fourth Proportional to 152,876.88, 210,962.98 and 84,898.16

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Solution

The fourth proportional to 152,876.88, 210,962.98 and 84,898.16 is: 117,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,876.88 : 210,962.98 = 84,898.16 : x
  2. Step 2: Convert to fraction form
    152,876.88/210,962.98 = 84,898.16/x
  3. Step 3: Cross multiply
    152,876.88x = 210,962.98 × 84,898.16
  4. Step 4: Simplify right side
    152,876.88x = 17,910,368,830.12
  5. Step 5: Solve for x
    x = 17,910,368,830.12/152,876.88
  6. Step 6: Final answer
    x = 117,155.51

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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.