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Finding the Fourth Proportional to 98,735.90, 136,254.98 and 53,413.74

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Solution

The fourth proportional to 98,735.90, 136,254.98 and 53,413.74 is: 73,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.90 : 136,254.98 = 53,413.74 : x
  2. Step 2: Convert to fraction form
    98,735.90/136,254.98 = 53,413.74/x
  3. Step 3: Cross multiply
    98,735.90x = 136,254.98 × 53,413.74
  4. Step 4: Simplify right side
    98,735.90x = 7,277,887,808.36
  5. Step 5: Solve for x
    x = 7,277,887,808.36/98,735.90
  6. Step 6: Final answer
    x = 73,710.66

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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.