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Finding the Fourth Proportional to 210,921.84, 316,486.56 and 98,609.76

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Solution

The fourth proportional to 210,921.84, 316,486.56 and 98,609.76 is: 147,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,921.84 : 316,486.56 = 98,609.76 : x
  2. Step 2: Convert to fraction form
    210,921.84/316,486.56 = 98,609.76/x
  3. Step 3: Cross multiply
    210,921.84x = 316,486.56 × 98,609.76
  4. Step 4: Simplify right side
    210,921.84x = 31,208,663,724.83
  5. Step 5: Solve for x
    x = 31,208,663,724.83/210,921.84
  6. Step 6: Final answer
    x = 147,963.17

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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.