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Finding the Fourth Proportional to 105,293.64, 145,302.96 and 59,352.96

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Solution

The fourth proportional to 105,293.64, 145,302.96 and 59,352.96 is: 81,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,293.64 : 145,302.96 = 59,352.96 : x
  2. Step 2: Convert to fraction form
    105,293.64/145,302.96 = 59,352.96/x
  3. Step 3: Cross multiply
    105,293.64x = 145,302.96 × 59,352.96
  4. Step 4: Simplify right side
    105,293.64x = 8,624,160,772.76
  5. Step 5: Solve for x
    x = 8,624,160,772.76/105,293.64
  6. Step 6: Final answer
    x = 81,905.81

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1.5x scale

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.