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Finding the Fourth Proportional to 260,748.40, 359,803.06 and 146,011.10

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Solution

The fourth proportional to 260,748.40, 359,803.06 and 146,011.10 is: 201,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,748.40 : 359,803.06 = 146,011.10 : x
  2. Step 2: Convert to fraction form
    260,748.40/359,803.06 = 146,011.10/x
  3. Step 3: Cross multiply
    260,748.40x = 359,803.06 × 146,011.10
  4. Step 4: Simplify right side
    260,748.40x = 52,535,240,573.97
  5. Step 5: Solve for x
    x = 52,535,240,573.97/260,748.40
  6. Step 6: Final answer
    x = 201,478.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.