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Finding the Fourth Proportional to 176,345.70, 264,518.55 and 51,686.70

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Solution

The fourth proportional to 176,345.70, 264,518.55 and 51,686.70 is: 77,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,345.70 : 264,518.55 = 51,686.70 : x
  2. Step 2: Convert to fraction form
    176,345.70/264,518.55 = 51,686.70/x
  3. Step 3: Cross multiply
    176,345.70x = 264,518.55 × 51,686.70
  4. Step 4: Simplify right side
    176,345.70x = 13,672,090,938.29
  5. Step 5: Solve for x
    x = 13,672,090,938.29/176,345.70
  6. Step 6: Final answer
    x = 77,530.05

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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.