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Finding the Fourth Proportional to 75,894.35, 114,090.62 and 70,413.89

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Solution

The fourth proportional to 75,894.35, 114,090.62 and 70,413.89 is: 105,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.35 : 114,090.62 = 70,413.89 : x
  2. Step 2: Convert to fraction form
    75,894.35/114,090.62 = 70,413.89/x
  3. Step 3: Cross multiply
    75,894.35x = 114,090.62 × 70,413.89
  4. Step 4: Simplify right side
    75,894.35x = 8,033,563,444.19
  5. Step 5: Solve for x
    x = 8,033,563,444.19/75,894.35
  6. Step 6: Final answer
    x = 105,851.94

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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.