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Finding the Fourth Proportional to 188,541.82, 260,192.84 and 102,506.59

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Solution

The fourth proportional to 188,541.82, 260,192.84 and 102,506.59 is: 141,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,541.82 : 260,192.84 = 102,506.59 : x
  2. Step 2: Convert to fraction form
    188,541.82/260,192.84 = 102,506.59/x
  3. Step 3: Cross multiply
    188,541.82x = 260,192.84 × 102,506.59
  4. Step 4: Simplify right side
    188,541.82x = 26,671,480,770.82
  5. Step 5: Solve for x
    x = 26,671,480,770.82/188,541.82
  6. Step 6: Final answer
    x = 141,461.89

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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.