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Finding the Fourth Proportional to 153,413.77, 230,156.88 and 48,232.74

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Solution

The fourth proportional to 153,413.77, 230,156.88 and 48,232.74 is: 72,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,413.77 : 230,156.88 = 48,232.74 : x
  2. Step 2: Convert to fraction form
    153,413.77/230,156.88 = 48,232.74/x
  3. Step 3: Cross multiply
    153,413.77x = 230,156.88 × 48,232.74
  4. Step 4: Simplify right side
    153,413.77x = 11,101,096,861.81
  5. Step 5: Solve for x
    x = 11,101,096,861.81/153,413.77
  6. Step 6: Final answer
    x = 72,360.50

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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.