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Finding the Fourth Proportional to 357,071.82, 535,234.02 and 120,332.70

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Solution

The fourth proportional to 357,071.82, 535,234.02 and 120,332.70 is: 180,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,071.82 : 535,234.02 = 120,332.70 : x
  2. Step 2: Convert to fraction form
    357,071.82/535,234.02 = 120,332.70/x
  3. Step 3: Cross multiply
    357,071.82x = 535,234.02 × 120,332.70
  4. Step 4: Simplify right side
    357,071.82x = 64,406,154,758.45
  5. Step 5: Solve for x
    x = 64,406,154,758.45/357,071.82
  6. Step 6: Final answer
    x = 180,373.11

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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.