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Finding the Fourth Proportional to 292,109.90, 403,130.32 and 164,739.02

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Solution

The fourth proportional to 292,109.90, 403,130.32 and 164,739.02 is: 227,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109.90 : 403,130.32 = 164,739.02 : x
  2. Step 2: Convert to fraction form
    292,109.90/403,130.32 = 164,739.02/x
  3. Step 3: Cross multiply
    292,109.90x = 403,130.32 × 164,739.02
  4. Step 4: Simplify right side
    292,109.90x = 66,411,291,421.59
  5. Step 5: Solve for x
    x = 66,411,291,421.59/292,109.90
  6. Step 6: Final answer
    x = 227,350.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.