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Finding the Fourth Proportional to 149,653.58, 224,480.34 and 99,830.97

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Solution

The fourth proportional to 149,653.58, 224,480.34 and 99,830.97 is: 149,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,653.58 : 224,480.34 = 99,830.97 : x
  2. Step 2: Convert to fraction form
    149,653.58/224,480.34 = 99,830.97/x
  3. Step 3: Cross multiply
    149,653.58x = 224,480.34 × 99,830.97
  4. Step 4: Simplify right side
    149,653.58x = 22,410,090,088.13
  5. Step 5: Solve for x
    x = 22,410,090,088.13/149,653.58
  6. Step 6: Final answer
    x = 149,746.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.