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Finding the Fourth Proportional to 342,071.10, 513,106.65 and 230,096.70

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Solution

The fourth proportional to 342,071.10, 513,106.65 and 230,096.70 is: 345,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,071.10 : 513,106.65 = 230,096.70 : x
  2. Step 2: Convert to fraction form
    342,071.10/513,106.65 = 230,096.70/x
  3. Step 3: Cross multiply
    342,071.10x = 513,106.65 × 230,096.70
  4. Step 4: Simplify right side
    342,071.10x = 118,064,146,913.06
  5. Step 5: Solve for x
    x = 118,064,146,913.06/342,071.10
  6. Step 6: Final answer
    x = 345,145.05

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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.