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Finding the Fourth Proportional to 461,393.82, 692,123.54 and 141,504.17

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Solution

The fourth proportional to 461,393.82, 692,123.54 and 141,504.17 is: 212,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,393.82 : 692,123.54 = 141,504.17 : x
  2. Step 2: Convert to fraction form
    461,393.82/692,123.54 = 141,504.17/x
  3. Step 3: Cross multiply
    461,393.82x = 692,123.54 × 141,504.17
  4. Step 4: Simplify right side
    461,393.82x = 97,938,362,897.02
  5. Step 5: Solve for x
    x = 97,938,362,897.02/461,393.82
  6. Step 6: Final answer
    x = 212,266.31

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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.