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Finding the Fourth Proportional to 122,413.65, 169,101.14 and 116,428.16

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Solution

The fourth proportional to 122,413.65, 169,101.14 and 116,428.16 is: 160,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,413.65 : 169,101.14 = 116,428.16 : x
  2. Step 2: Convert to fraction form
    122,413.65/169,101.14 = 116,428.16/x
  3. Step 3: Cross multiply
    122,413.65x = 169,101.14 × 116,428.16
  4. Step 4: Simplify right side
    122,413.65x = 19,688,135,514.23
  5. Step 5: Solve for x
    x = 19,688,135,514.23/122,413.65
  6. Step 6: Final answer
    x = 160,832.84

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1.5x scale

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.