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Finding the Fourth Proportional to 355,643.98, 533,746.42 and 156,102.10

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Solution

The fourth proportional to 355,643.98, 533,746.42 and 156,102.10 is: 234,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.98 : 533,746.42 = 156,102.10 : x
  2. Step 2: Convert to fraction form
    355,643.98/533,746.42 = 156,102.10/x
  3. Step 3: Cross multiply
    355,643.98x = 533,746.42 × 156,102.10
  4. Step 4: Simplify right side
    355,643.98x = 83,318,937,029.48
  5. Step 5: Solve for x
    x = 83,318,937,029.48/355,643.98
  6. Step 6: Final answer
    x = 234,276.25

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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.