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Finding the Fourth Proportional to 152,235.79, 210,085.77 and 84,257.44

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Solution

The fourth proportional to 152,235.79, 210,085.77 and 84,257.44 is: 116,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,235.79 : 210,085.77 = 84,257.44 : x
  2. Step 2: Convert to fraction form
    152,235.79/210,085.77 = 84,257.44/x
  3. Step 3: Cross multiply
    152,235.79x = 210,085.77 × 84,257.44
  4. Step 4: Simplify right side
    152,235.79x = 17,701,289,160.63
  5. Step 5: Solve for x
    x = 17,701,289,160.63/152,235.79
  6. Step 6: Final answer
    x = 116,275.48

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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.