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Finding the Fourth Proportional to 216,999.05, 299,181.08 and 148,897.76

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Solution

The fourth proportional to 216,999.05, 299,181.08 and 148,897.76 is: 205,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,999.05 : 299,181.08 = 148,897.76 : x
  2. Step 2: Convert to fraction form
    216,999.05/299,181.08 = 148,897.76/x
  3. Step 3: Cross multiply
    216,999.05x = 299,181.08 × 148,897.76
  4. Step 4: Simplify right side
    216,999.05x = 44,547,392,646.38
  5. Step 5: Solve for x
    x = 44,547,392,646.38/216,999.05
  6. Step 6: Final answer
    x = 205,288.42

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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.