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Finding the Fourth Proportional to 357,011.03, 535,142.93 and 120,271.92

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Solution

The fourth proportional to 357,011.03, 535,142.93 and 120,271.92 is: 180,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,011.03 : 535,142.93 = 120,271.92 : x
  2. Step 2: Convert to fraction form
    357,011.03/535,142.93 = 120,271.92/x
  3. Step 3: Cross multiply
    357,011.03x = 535,142.93 × 120,271.92
  4. Step 4: Simplify right side
    357,011.03x = 64,362,667,064.17
  5. Step 5: Solve for x
    x = 64,362,667,064.17/357,011.03
  6. Step 6: Final answer
    x = 180,282.02

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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.