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Finding the Fourth Proportional to 229,486.38, 343,492.47 and 122,603.10

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Solution

The fourth proportional to 229,486.38, 343,492.47 and 122,603.10 is: 183,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,486.38 : 343,492.47 = 122,603.10 : x
  2. Step 2: Convert to fraction form
    229,486.38/343,492.47 = 122,603.10/x
  3. Step 3: Cross multiply
    229,486.38x = 343,492.47 × 122,603.10
  4. Step 4: Simplify right side
    229,486.38x = 42,113,241,648.66
  5. Step 5: Solve for x
    x = 42,113,241,648.66/229,486.38
  6. Step 6: Final answer
    x = 183,510.85

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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.