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Finding the Fourth Proportional to 214,712.40, 322,068.60 and 96,614.40

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Solution

The fourth proportional to 214,712.40, 322,068.60 and 96,614.40 is: 144,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,712.40 : 322,068.60 = 96,614.40 : x
  2. Step 2: Convert to fraction form
    214,712.40/322,068.60 = 96,614.40/x
  3. Step 3: Cross multiply
    214,712.40x = 322,068.60 × 96,614.40
  4. Step 4: Simplify right side
    214,712.40x = 31,116,464,547.84
  5. Step 5: Solve for x
    x = 31,116,464,547.84/214,712.40
  6. Step 6: Final answer
    x = 144,921.60

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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.