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Finding the Fourth Proportional to 358,889.60, 538,413.12 and 106,150.32

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Solution

The fourth proportional to 358,889.60, 538,413.12 and 106,150.32 is: 159,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,889.60 : 538,413.12 = 106,150.32 : x
  2. Step 2: Convert to fraction form
    358,889.60/538,413.12 = 106,150.32/x
  3. Step 3: Cross multiply
    358,889.60x = 538,413.12 × 106,150.32
  4. Step 4: Simplify right side
    358,889.60x = 57,152,724,980.20
  5. Step 5: Solve for x
    x = 57,152,724,980.20/358,889.60
  6. Step 6: Final answer
    x = 159,248.76

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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.