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Finding the Fourth Proportional to 188,016, 282,035.52 and 56,688

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Solution

The fourth proportional to 188,016, 282,035.52 and 56,688 is: 85,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,016 : 282,035.52 = 56,688 : x
  2. Step 2: Convert to fraction form
    188,016/282,035.52 = 56,688/x
  3. Step 3: Cross multiply
    188,016x = 282,035.52 × 56,688
  4. Step 4: Simplify right side
    188,016x = 15,988,029,557.76
  5. Step 5: Solve for x
    x = 15,988,029,557.76/188,016
  6. Step 6: Final answer
    x = 85,035.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.