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Finding the Fourth Proportional to 151,308, 208,811.52 and 84,240

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Solution

The fourth proportional to 151,308, 208,811.52 and 84,240 is: 116,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,308 : 208,811.52 = 84,240 : x
  2. Step 2: Convert to fraction form
    151,308/208,811.52 = 84,240/x
  3. Step 3: Cross multiply
    151,308x = 208,811.52 × 84,240
  4. Step 4: Simplify right side
    151,308x = 17,590,282,444.80
  5. Step 5: Solve for x
    x = 17,590,282,444.80/151,308
  6. Step 6: Final answer
    x = 116,254.81

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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.