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Finding the Fourth Proportional to 130,574.25, 195,863.54 and 56,702.25

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Solution

The fourth proportional to 130,574.25, 195,863.54 and 56,702.25 is: 85,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,574.25 : 195,863.54 = 56,702.25 : x
  2. Step 2: Convert to fraction form
    130,574.25/195,863.54 = 56,702.25/x
  3. Step 3: Cross multiply
    130,574.25x = 195,863.54 × 56,702.25
  4. Step 4: Simplify right side
    130,574.25x = 11,105,903,127.45
  5. Step 5: Solve for x
    x = 11,105,903,127.45/130,574.25
  6. Step 6: Final answer
    x = 85,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.