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Finding the Fourth Proportional to 160,651, 221,698.38 and 110,379.16

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Solution

The fourth proportional to 160,651, 221,698.38 and 110,379.16 is: 152,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,651 : 221,698.38 = 110,379.16 : x
  2. Step 2: Convert to fraction form
    160,651/221,698.38 = 110,379.16/x
  3. Step 3: Cross multiply
    160,651x = 221,698.38 × 110,379.16
  4. Step 4: Simplify right side
    160,651x = 24,470,880,957.76
  5. Step 5: Solve for x
    x = 24,470,880,957.76/160,651
  6. Step 6: Final answer
    x = 152,323.24

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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.