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Finding the Fourth Proportional to 233,386, 322,072.68 and 127,402

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Solution

The fourth proportional to 233,386, 322,072.68 and 127,402 is: 175,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,386 : 322,072.68 = 127,402 : x
  2. Step 2: Convert to fraction form
    233,386/322,072.68 = 127,402/x
  3. Step 3: Cross multiply
    233,386x = 322,072.68 × 127,402
  4. Step 4: Simplify right side
    233,386x = 41,032,703,577.36
  5. Step 5: Solve for x
    x = 41,032,703,577.36/233,386
  6. Step 6: Final answer
    x = 175,814.76

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