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Finding the Fourth Proportional to 153,629.22, 211,888.14 and 99,931.38

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Solution

The fourth proportional to 153,629.22, 211,888.14 and 99,931.38 is: 137,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,629.22 : 211,888.14 = 99,931.38 : x
  2. Step 2: Convert to fraction form
    153,629.22/211,888.14 = 99,931.38/x
  3. Step 3: Cross multiply
    153,629.22x = 211,888.14 × 99,931.38
  4. Step 4: Simplify right side
    153,629.22x = 21,174,274,235.83
  5. Step 5: Solve for x
    x = 21,174,274,235.83/153,629.22
  6. Step 6: Final answer
    x = 137,827.13

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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.