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Finding the Fourth Proportional to 141,413.64, 212,075.64 and 47,897.52

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Solution

The fourth proportional to 141,413.64, 212,075.64 and 47,897.52 is: 71,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,413.64 : 212,075.64 = 47,897.52 : x
  2. Step 2: Convert to fraction form
    141,413.64/212,075.64 = 47,897.52/x
  3. Step 3: Cross multiply
    141,413.64x = 212,075.64 × 47,897.52
  4. Step 4: Simplify right side
    141,413.64x = 10,157,897,208.41
  5. Step 5: Solve for x
    x = 10,157,897,208.41/141,413.64
  6. Step 6: Final answer
    x = 71,831.10

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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.