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Finding the Fourth Proportional to 102,007.40, 153,011.10 and 70,514.60

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Solution

The fourth proportional to 102,007.40, 153,011.10 and 70,514.60 is: 105,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.40 : 153,011.10 = 70,514.60 : x
  2. Step 2: Convert to fraction form
    102,007.40/153,011.10 = 70,514.60/x
  3. Step 3: Cross multiply
    102,007.40x = 153,011.10 × 70,514.60
  4. Step 4: Simplify right side
    102,007.40x = 10,789,516,512.06
  5. Step 5: Solve for x
    x = 10,789,516,512.06/102,007.40
  6. Step 6: Final answer
    x = 105,771.90

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