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Finding the Fourth Proportional to 256,929.60, 385,394.40 and 109,166.40

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Solution

The fourth proportional to 256,929.60, 385,394.40 and 109,166.40 is: 163,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,929.60 : 385,394.40 = 109,166.40 : x
  2. Step 2: Convert to fraction form
    256,929.60/385,394.40 = 109,166.40/x
  3. Step 3: Cross multiply
    256,929.60x = 385,394.40 × 109,166.40
  4. Step 4: Simplify right side
    256,929.60x = 42,072,119,228.16
  5. Step 5: Solve for x
    x = 42,072,119,228.16/256,929.60
  6. Step 6: Final answer
    x = 163,749.60

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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.