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Finding the Fourth Proportional to 357,817.18, 536,521.64 and 147,204.22

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Solution

The fourth proportional to 357,817.18, 536,521.64 and 147,204.22 is: 220,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,817.18 : 536,521.64 = 147,204.22 : x
  2. Step 2: Convert to fraction form
    357,817.18/536,521.64 = 147,204.22/x
  3. Step 3: Cross multiply
    357,817.18x = 536,521.64 × 147,204.22
  4. Step 4: Simplify right side
    357,817.18x = 78,978,249,529.32
  5. Step 5: Solve for x
    x = 78,978,249,529.32/357,817.18
  6. Step 6: Final answer
    x = 220,722.35

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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.