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Finding the Fourth Proportional to 151,369, 208,895.70 and 84,301

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Solution

The fourth proportional to 151,369, 208,895.70 and 84,301 is: 116,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,369 : 208,895.70 = 84,301 : x
  2. Step 2: Convert to fraction form
    151,369/208,895.70 = 84,301/x
  3. Step 3: Cross multiply
    151,369x = 208,895.70 × 84,301
  4. Step 4: Simplify right side
    151,369x = 17,610,116,405.70
  5. Step 5: Solve for x
    x = 17,610,116,405.70/151,369
  6. Step 6: Final answer
    x = 116,338.99

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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.