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Finding the Fourth Proportional to 295,931.16, 444,042.54 and 138,136.68

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Solution

The fourth proportional to 295,931.16, 444,042.54 and 138,136.68 is: 207,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,931.16 : 444,042.54 = 138,136.68 : x
  2. Step 2: Convert to fraction form
    295,931.16/444,042.54 = 138,136.68/x
  3. Step 3: Cross multiply
    295,931.16x = 444,042.54 × 138,136.68
  4. Step 4: Simplify right side
    295,931.16x = 61,338,562,254.37
  5. Step 5: Solve for x
    x = 61,338,562,254.37/295,931.16
  6. Step 6: Final answer
    x = 207,273.08

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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.