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Finding the Fourth Proportional to 230,962.40, 346,443.60 and 152,165.60

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Solution

The fourth proportional to 230,962.40, 346,443.60 and 152,165.60 is: 228,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,962.40 : 346,443.60 = 152,165.60 : x
  2. Step 2: Convert to fraction form
    230,962.40/346,443.60 = 152,165.60/x
  3. Step 3: Cross multiply
    230,962.40x = 346,443.60 × 152,165.60
  4. Step 4: Simplify right side
    230,962.40x = 52,716,798,260.16
  5. Step 5: Solve for x
    x = 52,716,798,260.16/230,962.40
  6. Step 6: Final answer
    x = 228,248.40

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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.