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Finding the Fourth Proportional to 107,454, 148,283.58 and 59,706.12

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Solution

The fourth proportional to 107,454, 148,283.58 and 59,706.12 is: 82,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,454 : 148,283.58 = 59,706.12 : x
  2. Step 2: Convert to fraction form
    107,454/148,283.58 = 59,706.12/x
  3. Step 3: Cross multiply
    107,454x = 148,283.58 × 59,706.12
  4. Step 4: Simplify right side
    107,454x = 8,853,437,221.51
  5. Step 5: Solve for x
    x = 8,853,437,221.51/107,454
  6. Step 6: Final answer
    x = 82,392.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.