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Finding the Fourth Proportional to 153,484.58, 230,258.12 and 64,738.41

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Solution

The fourth proportional to 153,484.58, 230,258.12 and 64,738.41 is: 97,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,484.58 : 230,258.12 = 64,738.41 : x
  2. Step 2: Convert to fraction form
    153,484.58/230,258.12 = 64,738.41/x
  3. Step 3: Cross multiply
    153,484.58x = 230,258.12 × 64,738.41
  4. Step 4: Simplify right side
    153,484.58x = 14,906,544,254.70
  5. Step 5: Solve for x
    x = 14,906,544,254.70/153,484.58
  6. Step 6: Final answer
    x = 97,120.80

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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.