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Finding the Fourth Proportional to 256,136.61, 353,459.93 and 141,413.34

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Solution

The fourth proportional to 256,136.61, 353,459.93 and 141,413.34 is: 195,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,136.61 : 353,459.93 = 141,413.34 : x
  2. Step 2: Convert to fraction form
    256,136.61/353,459.93 = 141,413.34/x
  3. Step 3: Cross multiply
    256,136.61x = 353,459.93 × 141,413.34
  4. Step 4: Simplify right side
    256,136.61x = 49,983,948,550.40
  5. Step 5: Solve for x
    x = 49,983,948,550.40/256,136.61
  6. Step 6: Final answer
    x = 195,145.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.