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Finding the Fourth Proportional to 188,573.78, 260,228.93 and 102,532.07

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Solution

The fourth proportional to 188,573.78, 260,228.93 and 102,532.07 is: 141,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,573.78 : 260,228.93 = 102,532.07 : x
  2. Step 2: Convert to fraction form
    188,573.78/260,228.93 = 102,532.07/x
  3. Step 3: Cross multiply
    188,573.78x = 260,228.93 × 102,532.07
  4. Step 4: Simplify right side
    188,573.78x = 26,681,811,773.69
  5. Step 5: Solve for x
    x = 26,681,811,773.69/188,573.78
  6. Step 6: Final answer
    x = 141,492.69

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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.