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Finding the Fourth Proportional to 102,700.40, 154,050.60 and 97,516.40

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Solution

The fourth proportional to 102,700.40, 154,050.60 and 97,516.40 is: 146,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,700.40 : 154,050.60 = 97,516.40 : x
  2. Step 2: Convert to fraction form
    102,700.40/154,050.60 = 97,516.40/x
  3. Step 3: Cross multiply
    102,700.40x = 154,050.60 × 97,516.40
  4. Step 4: Simplify right side
    102,700.40x = 15,022,459,929.84
  5. Step 5: Solve for x
    x = 15,022,459,929.84/102,700.40
  6. Step 6: Final answer
    x = 146,274.60

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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.