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Finding the Fourth Proportional to 104,868.65, 156,510.70 and 97,758.16

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Solution

The fourth proportional to 104,868.65, 156,510.70 and 97,758.16 is: 145,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,868.65 : 156,510.70 = 97,758.16 : x
  2. Step 2: Convert to fraction form
    104,868.65/156,510.70 = 97,758.16/x
  3. Step 3: Cross multiply
    104,868.65x = 156,510.70 × 97,758.16
  4. Step 4: Simplify right side
    104,868.65x = 15,300,197,416.64
  5. Step 5: Solve for x
    x = 15,300,197,416.64/104,868.65
  6. Step 6: Final answer
    x = 145,898.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.