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Finding the Fourth Proportional to 102,191.76, 153,094.76 and 52,303.46

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Solution

The fourth proportional to 102,191.76, 153,094.76 and 52,303.46 is: 78,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.76 : 153,094.76 = 52,303.46 : x
  2. Step 2: Convert to fraction form
    102,191.76/153,094.76 = 52,303.46/x
  3. Step 3: Cross multiply
    102,191.76x = 153,094.76 × 52,303.46
  4. Step 4: Simplify right side
    102,191.76x = 8,007,384,825.02
  5. Step 5: Solve for x
    x = 8,007,384,825.02/102,191.76
  6. Step 6: Final answer
    x = 78,356.46

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1.5x scale

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.