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Finding the Fourth Proportional to 228,146.40, 342,258.40 and 70,345.44

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Solution

The fourth proportional to 228,146.40, 342,258.40 and 70,345.44 is: 105,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,146.40 : 342,258.40 = 70,345.44 : x
  2. Step 2: Convert to fraction form
    228,146.40/342,258.40 = 70,345.44/x
  3. Step 3: Cross multiply
    228,146.40x = 342,258.40 × 70,345.44
  4. Step 4: Simplify right side
    228,146.40x = 24,076,317,741.70
  5. Step 5: Solve for x
    x = 24,076,317,741.70/228,146.40
  6. Step 6: Final answer
    x = 105,530.12

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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.