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Finding the Fourth Proportional to 242,870.64, 364,275.72 and 102,611.04

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Solution

The fourth proportional to 242,870.64, 364,275.72 and 102,611.04 is: 153,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,870.64 : 364,275.72 = 102,611.04 : x
  2. Step 2: Convert to fraction form
    242,870.64/364,275.72 = 102,611.04/x
  3. Step 3: Cross multiply
    242,870.64x = 364,275.72 × 102,611.04
  4. Step 4: Simplify right side
    242,870.64x = 37,378,710,475.95
  5. Step 5: Solve for x
    x = 37,378,710,475.95/242,870.64
  6. Step 6: Final answer
    x = 153,903.78

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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.