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Finding the Fourth Proportional to 101,413.64, 139,949.61 and 56,088.06

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Solution

The fourth proportional to 101,413.64, 139,949.61 and 56,088.06 is: 77,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.64 : 139,949.61 = 56,088.06 : x
  2. Step 2: Convert to fraction form
    101,413.64/139,949.61 = 56,088.06/x
  3. Step 3: Cross multiply
    101,413.64x = 139,949.61 × 56,088.06
  4. Step 4: Simplify right side
    101,413.64x = 7,849,502,122.66
  5. Step 5: Solve for x
    x = 7,849,502,122.66/101,413.64
  6. Step 6: Final answer
    x = 77,400.86

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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.