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Finding the Fourth Proportional to 176,083.20, 264,319.20 and 109,598.40

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Solution

The fourth proportional to 176,083.20, 264,319.20 and 109,598.40 is: 164,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,083.20 : 264,319.20 = 109,598.40 : x
  2. Step 2: Convert to fraction form
    176,083.20/264,319.20 = 109,598.40/x
  3. Step 3: Cross multiply
    176,083.20x = 264,319.20 × 109,598.40
  4. Step 4: Simplify right side
    176,083.20x = 28,968,961,409.28
  5. Step 5: Solve for x
    x = 28,968,961,409.28/176,083.20
  6. Step 6: Final answer
    x = 164,518.60

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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.