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Finding the Fourth Proportional to 153,516.60, 230,274.90 and 53,643.60

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Solution

The fourth proportional to 153,516.60, 230,274.90 and 53,643.60 is: 80,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,516.60 : 230,274.90 = 53,643.60 : x
  2. Step 2: Convert to fraction form
    153,516.60/230,274.90 = 53,643.60/x
  3. Step 3: Cross multiply
    153,516.60x = 230,274.90 × 53,643.60
  4. Step 4: Simplify right side
    153,516.60x = 12,352,774,625.64
  5. Step 5: Solve for x
    x = 12,352,774,625.64/153,516.60
  6. Step 6: Final answer
    x = 80,465.40

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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.