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Finding the Fourth Proportional to 116,570.30, 174,941.85 and 77,114.30

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Solution

The fourth proportional to 116,570.30, 174,941.85 and 77,114.30 is: 115,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,570.30 : 174,941.85 = 77,114.30 : x
  2. Step 2: Convert to fraction form
    116,570.30/174,941.85 = 77,114.30/x
  3. Step 3: Cross multiply
    116,570.30x = 174,941.85 × 77,114.30
  4. Step 4: Simplify right side
    116,570.30x = 13,490,518,303.46
  5. Step 5: Solve for x
    x = 13,490,518,303.46/116,570.30
  6. Step 6: Final answer
    x = 115,728.61

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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.