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Finding the Fourth Proportional to 102,573.72, 153,455.88 and 77,685.72

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Solution

The fourth proportional to 102,573.72, 153,455.88 and 77,685.72 is: 116,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,573.72 : 153,455.88 = 77,685.72 : x
  2. Step 2: Convert to fraction form
    102,573.72/153,455.88 = 77,685.72/x
  3. Step 3: Cross multiply
    102,573.72x = 153,455.88 × 77,685.72
  4. Step 4: Simplify right side
    102,573.72x = 11,921,330,526.03
  5. Step 5: Solve for x
    x = 11,921,330,526.03/102,573.72
  6. Step 6: Final answer
    x = 116,222.07

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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.