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Finding the Fourth Proportional to 176,307.10, 264,433.65 and 57,978.70

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Solution

The fourth proportional to 176,307.10, 264,433.65 and 57,978.70 is: 86,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,307.10 : 264,433.65 = 57,978.70 : x
  2. Step 2: Convert to fraction form
    176,307.10/264,433.65 = 57,978.70/x
  3. Step 3: Cross multiply
    176,307.10x = 264,433.65 × 57,978.70
  4. Step 4: Simplify right side
    176,307.10x = 15,331,519,263.26
  5. Step 5: Solve for x
    x = 15,331,519,263.26/176,307.10
  6. Step 6: Final answer
    x = 86,959.17

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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.