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Finding the Fourth Proportional to 232,852.71, 349,414.59 and 97,907.01

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Solution

The fourth proportional to 232,852.71, 349,414.59 and 97,907.01 is: 146,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,852.71 : 349,414.59 = 97,907.01 : x
  2. Step 2: Convert to fraction form
    232,852.71/349,414.59 = 97,907.01/x
  3. Step 3: Cross multiply
    232,852.71x = 349,414.59 × 97,907.01
  4. Step 4: Simplify right side
    232,852.71x = 34,210,136,420.66
  5. Step 5: Solve for x
    x = 34,210,136,420.66/232,852.71
  6. Step 6: Final answer
    x = 146,917.49

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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.