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Finding the Fourth Proportional to 116,461.60, 174,823.80 and 77,095.60

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Solution

The fourth proportional to 116,461.60, 174,823.80 and 77,095.60 is: 115,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.60 : 174,823.80 = 77,095.60 : x
  2. Step 2: Convert to fraction form
    116,461.60/174,823.80 = 77,095.60/x
  3. Step 3: Cross multiply
    116,461.60x = 174,823.80 × 77,095.60
  4. Step 4: Simplify right side
    116,461.60x = 13,478,145,755.28
  5. Step 5: Solve for x
    x = 13,478,145,755.28/116,461.60
  6. Step 6: Final answer
    x = 115,730.38

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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.