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Finding the Fourth Proportional to 116,702.60, 174,665.10 and 102,705.80

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Solution

The fourth proportional to 116,702.60, 174,665.10 and 102,705.80 is: 153,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,702.60 : 174,665.10 = 102,705.80 : x
  2. Step 2: Convert to fraction form
    116,702.60/174,665.10 = 102,705.80/x
  3. Step 3: Cross multiply
    116,702.60x = 174,665.10 × 102,705.80
  4. Step 4: Simplify right side
    116,702.60x = 17,939,118,827.58
  5. Step 5: Solve for x
    x = 17,939,118,827.58/116,702.60
  6. Step 6: Final answer
    x = 153,716.53

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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.