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Finding the Fourth Proportional to 152,605.40, 228,929.70 and 47,413.40

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Solution

The fourth proportional to 152,605.40, 228,929.70 and 47,413.40 is: 71,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605.40 : 228,929.70 = 47,413.40 : x
  2. Step 2: Convert to fraction form
    152,605.40/228,929.70 = 47,413.40/x
  3. Step 3: Cross multiply
    152,605.40x = 228,929.70 × 47,413.40
  4. Step 4: Simplify right side
    152,605.40x = 10,854,335,437.98
  5. Step 5: Solve for x
    x = 10,854,335,437.98/152,605.40
  6. Step 6: Final answer
    x = 71,126.81

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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.