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Finding the Fourth Proportional to 302,533, 454,006.86 and 105,541

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Solution

The fourth proportional to 302,533, 454,006.86 and 105,541 is: 158,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,533 : 454,006.86 = 105,541 : x
  2. Step 2: Convert to fraction form
    302,533/454,006.86 = 105,541/x
  3. Step 3: Cross multiply
    302,533x = 454,006.86 × 105,541
  4. Step 4: Simplify right side
    302,533x = 47,916,338,011.26
  5. Step 5: Solve for x
    x = 47,916,338,011.26/302,533
  6. Step 6: Final answer
    x = 158,383.84

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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.