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Finding the Fourth Proportional to 145,545.96, 200,848.19 and 81,013.06

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Solution

The fourth proportional to 145,545.96, 200,848.19 and 81,013.06 is: 111,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,545.96 : 200,848.19 = 81,013.06 : x
  2. Step 2: Convert to fraction form
    145,545.96/200,848.19 = 81,013.06/x
  3. Step 3: Cross multiply
    145,545.96x = 200,848.19 × 81,013.06
  4. Step 4: Simplify right side
    145,545.96x = 16,271,326,467.36
  5. Step 5: Solve for x
    x = 16,271,326,467.36/145,545.96
  6. Step 6: Final answer
    x = 111,795.11

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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.