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Finding the Fourth Proportional to 338,193.84, 507,312.63 and 113,545.20

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Solution

The fourth proportional to 338,193.84, 507,312.63 and 113,545.20 is: 170,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,193.84 : 507,312.63 = 113,545.20 : x
  2. Step 2: Convert to fraction form
    338,193.84/507,312.63 = 113,545.20/x
  3. Step 3: Cross multiply
    338,193.84x = 507,312.63 × 113,545.20
  4. Step 4: Simplify right side
    338,193.84x = 57,602,914,035.88
  5. Step 5: Solve for x
    x = 57,602,914,035.88/338,193.84
  6. Step 6: Final answer
    x = 170,325.14

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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.