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Finding the Fourth Proportional to 338,840.04, 508,130.40 and 114,140

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Solution

The fourth proportional to 338,840.04, 508,130.40 and 114,140 is: 171,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,840.04 : 508,130.40 = 114,140 : x
  2. Step 2: Convert to fraction form
    338,840.04/508,130.40 = 114,140/x
  3. Step 3: Cross multiply
    338,840.04x = 508,130.40 × 114,140
  4. Step 4: Simplify right side
    338,840.04x = 57,998,003,856
  5. Step 5: Solve for x
    x = 57,998,003,856/338,840.04
  6. Step 6: Final answer
    x = 171,166.32

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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.