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Finding the Fourth Proportional to 119,413.48, 179,113.74 and 36,301

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Solution

The fourth proportional to 119,413.48, 179,113.74 and 36,301 is: 54,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.48 : 179,113.74 = 36,301 : x
  2. Step 2: Convert to fraction form
    119,413.48/179,113.74 = 36,301/x
  3. Step 3: Cross multiply
    119,413.48x = 179,113.74 × 36,301
  4. Step 4: Simplify right side
    119,413.48x = 6,502,007,875.74
  5. Step 5: Solve for x
    x = 6,502,007,875.74/119,413.48
  6. Step 6: Final answer
    x = 54,449.53

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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.