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Finding the Fourth Proportional to 151,146, 208,582.74 and 84,078

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Solution

The fourth proportional to 151,146, 208,582.74 and 84,078 is: 116,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,146 : 208,582.74 = 84,078 : x
  2. Step 2: Convert to fraction form
    151,146/208,582.74 = 84,078/x
  3. Step 3: Cross multiply
    151,146x = 208,582.74 × 84,078
  4. Step 4: Simplify right side
    151,146x = 17,537,219,613.72
  5. Step 5: Solve for x
    x = 17,537,219,613.72/151,146
  6. Step 6: Final answer
    x = 116,028.34

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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.