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Finding the Fourth Proportional to 357,020.98, 535,533.29 and 120,365.71

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Solution

The fourth proportional to 357,020.98, 535,533.29 and 120,365.71 is: 180,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,020.98 : 535,533.29 = 120,365.71 : x
  2. Step 2: Convert to fraction form
    357,020.98/535,533.29 = 120,365.71/x
  3. Step 3: Cross multiply
    357,020.98x = 535,533.29 × 120,365.71
  4. Step 4: Simplify right side
    357,020.98x = 64,459,843,190.20
  5. Step 5: Solve for x
    x = 64,459,843,190.20/357,020.98
  6. Step 6: Final answer
    x = 180,549.18

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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.