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Finding the Fourth Proportional to 178,209.58, 245,929.21 and 97,640.16

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Solution

The fourth proportional to 178,209.58, 245,929.21 and 97,640.16 is: 134,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209.58 : 245,929.21 = 97,640.16 : x
  2. Step 2: Convert to fraction form
    178,209.58/245,929.21 = 97,640.16/x
  3. Step 3: Cross multiply
    178,209.58x = 245,929.21 × 97,640.16
  4. Step 4: Simplify right side
    178,209.58x = 24,012,567,413.07
  5. Step 5: Solve for x
    x = 24,012,567,413.07/178,209.58
  6. Step 6: Final answer
    x = 134,743.42

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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.