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Finding the Fourth Proportional to 364,381.77, 546,510.54 and 98,082.93

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Solution

The fourth proportional to 364,381.77, 546,510.54 and 98,082.93 is: 147,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,381.77 : 546,510.54 = 98,082.93 : x
  2. Step 2: Convert to fraction form
    364,381.77/546,510.54 = 98,082.93/x
  3. Step 3: Cross multiply
    364,381.77x = 546,510.54 × 98,082.93
  4. Step 4: Simplify right side
    364,381.77x = 53,603,355,039.08
  5. Step 5: Solve for x
    x = 53,603,355,039.08/364,381.77
  6. Step 6: Final answer
    x = 147,107.68

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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.