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Finding the Fourth Proportional to 154,861, 232,134.63 and 104,946.16

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Solution

The fourth proportional to 154,861, 232,134.63 and 104,946.16 is: 157,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,861 : 232,134.63 = 104,946.16 : x
  2. Step 2: Convert to fraction form
    154,861/232,134.63 = 104,946.16/x
  3. Step 3: Cross multiply
    154,861x = 232,134.63 × 104,946.16
  4. Step 4: Simplify right side
    154,861x = 24,361,638,021.52
  5. Step 5: Solve for x
    x = 24,361,638,021.52/154,861
  6. Step 6: Final answer
    x = 157,312.93

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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.