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Finding the Fourth Proportional to 105,396.23, 145,447.95 and 56,999.10

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Solution

The fourth proportional to 105,396.23, 145,447.95 and 56,999.10 is: 78,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,396.23 : 145,447.95 = 56,999.10 : x
  2. Step 2: Convert to fraction form
    105,396.23/145,447.95 = 56,999.10/x
  3. Step 3: Cross multiply
    105,396.23x = 145,447.95 × 56,999.10
  4. Step 4: Simplify right side
    105,396.23x = 8,290,402,442.17
  5. Step 5: Solve for x
    x = 8,290,402,442.17/105,396.23
  6. Step 6: Final answer
    x = 78,659.38

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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.