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Finding the Fourth Proportional to 267,413.16, 368,951.04 and 152,688

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Solution

The fourth proportional to 267,413.16, 368,951.04 and 152,688 is: 210,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,413.16 : 368,951.04 = 152,688 : x
  2. Step 2: Convert to fraction form
    267,413.16/368,951.04 = 152,688/x
  3. Step 3: Cross multiply
    267,413.16x = 368,951.04 × 152,688
  4. Step 4: Simplify right side
    267,413.16x = 56,334,396,395.52
  5. Step 5: Solve for x
    x = 56,334,396,395.52/267,413.16
  6. Step 6: Final answer
    x = 210,664.26

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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.