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Finding the Fourth Proportional to 163,993, 245,966.94 and 64,083.88

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Solution

The fourth proportional to 163,993, 245,966.94 and 64,083.88 is: 96,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,993 : 245,966.94 = 64,083.88 : x
  2. Step 2: Convert to fraction form
    163,993/245,966.94 = 64,083.88/x
  3. Step 3: Cross multiply
    163,993x = 245,966.94 × 64,083.88
  4. Step 4: Simplify right side
    163,993x = 15,762,515,866.93
  5. Step 5: Solve for x
    x = 15,762,515,866.93/163,993
  6. Step 6: Final answer
    x = 96,117.00

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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.