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Finding the Fourth Proportional to 126,875.84, 190,313.76 and 52,952

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Solution

The fourth proportional to 126,875.84, 190,313.76 and 52,952 is: 79,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,875.84 : 190,313.76 = 52,952 : x
  2. Step 2: Convert to fraction form
    126,875.84/190,313.76 = 52,952/x
  3. Step 3: Cross multiply
    126,875.84x = 190,313.76 × 52,952
  4. Step 4: Simplify right side
    126,875.84x = 10,077,494,219.52
  5. Step 5: Solve for x
    x = 10,077,494,219.52/126,875.84
  6. Step 6: Final answer
    x = 79,428

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.