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Finding the Fourth Proportional to 231,092.84, 346,570.40 and 97,970.96

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Solution

The fourth proportional to 231,092.84, 346,570.40 and 97,970.96 is: 146,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,092.84 : 346,570.40 = 97,970.96 : x
  2. Step 2: Convert to fraction form
    231,092.84/346,570.40 = 97,970.96/x
  3. Step 3: Cross multiply
    231,092.84x = 346,570.40 × 97,970.96
  4. Step 4: Simplify right side
    231,092.84x = 33,953,834,795.58
  5. Step 5: Solve for x
    x = 33,953,834,795.58/231,092.84
  6. Step 6: Final answer
    x = 146,927.25

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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.