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Finding the Fourth Proportional to 164,046.60, 245,413.80 and 142,103.70

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Solution

The fourth proportional to 164,046.60, 245,413.80 and 142,103.70 is: 212,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046.60 : 245,413.80 = 142,103.70 : x
  2. Step 2: Convert to fraction form
    164,046.60/245,413.80 = 142,103.70/x
  3. Step 3: Cross multiply
    164,046.60x = 245,413.80 × 142,103.70
  4. Step 4: Simplify right side
    164,046.60x = 34,874,209,011.06
  5. Step 5: Solve for x
    x = 34,874,209,011.06/164,046.60
  6. Step 6: Final answer
    x = 212,587.21

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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.