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Finding the Fourth Proportional to 118,413, 177,706.98 and 56,083.50

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Solution

The fourth proportional to 118,413, 177,706.98 and 56,083.50 is: 84,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,413 : 177,706.98 = 56,083.50 : x
  2. Step 2: Convert to fraction form
    118,413/177,706.98 = 56,083.50/x
  3. Step 3: Cross multiply
    118,413x = 177,706.98 × 56,083.50
  4. Step 4: Simplify right side
    118,413x = 9,966,429,412.83
  5. Step 5: Solve for x
    x = 9,966,429,412.83/118,413
  6. Step 6: Final answer
    x = 84,166.68

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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.