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Finding the Fourth Proportional to 149,130.34, 205,803.38 and 84,603.93

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Solution

The fourth proportional to 149,130.34, 205,803.38 and 84,603.93 is: 116,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,130.34 : 205,803.38 = 84,603.93 : x
  2. Step 2: Convert to fraction form
    149,130.34/205,803.38 = 84,603.93/x
  3. Step 3: Cross multiply
    149,130.34x = 205,803.38 × 84,603.93
  4. Step 4: Simplify right side
    149,130.34x = 17,411,774,195.03
  5. Step 5: Solve for x
    x = 17,411,774,195.03/149,130.34
  6. Step 6: Final answer
    x = 116,755.41

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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.