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Finding the Fourth Proportional to 114,395.14, 157,871.56 and 63,413.91

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Solution

The fourth proportional to 114,395.14, 157,871.56 and 63,413.91 is: 87,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,395.14 : 157,871.56 = 63,413.91 : x
  2. Step 2: Convert to fraction form
    114,395.14/157,871.56 = 63,413.91/x
  3. Step 3: Cross multiply
    114,395.14x = 157,871.56 × 63,413.91
  4. Step 4: Simplify right side
    114,395.14x = 10,011,252,897.40
  5. Step 5: Solve for x
    x = 10,011,252,897.40/114,395.14
  6. Step 6: Final answer
    x = 87,514.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.