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Finding the Fourth Proportional to 145,656.48, 218,377.80 and 61,413.24

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Solution

The fourth proportional to 145,656.48, 218,377.80 and 61,413.24 is: 92,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656.48 : 218,377.80 = 61,413.24 : x
  2. Step 2: Convert to fraction form
    145,656.48/218,377.80 = 61,413.24/x
  3. Step 3: Cross multiply
    145,656.48x = 218,377.80 × 61,413.24
  4. Step 4: Simplify right side
    145,656.48x = 13,411,288,242.07
  5. Step 5: Solve for x
    x = 13,411,288,242.07/145,656.48
  6. Step 6: Final answer
    x = 92,074.78

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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.