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Finding the Fourth Proportional to 145,784.76, 217,878.40 and 106,424.76

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Solution

The fourth proportional to 145,784.76, 217,878.40 and 106,424.76 is: 159,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,784.76 : 217,878.40 = 106,424.76 : x
  2. Step 2: Convert to fraction form
    145,784.76/217,878.40 = 106,424.76/x
  3. Step 3: Cross multiply
    145,784.76x = 217,878.40 × 106,424.76
  4. Step 4: Simplify right side
    145,784.76x = 23,187,656,429.18
  5. Step 5: Solve for x
    x = 23,187,656,429.18/145,784.76
  6. Step 6: Final answer
    x = 159,054.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.