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Finding the Fourth Proportional to 152,024.60, 228,036.90 and 67,784.60

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Solution

The fourth proportional to 152,024.60, 228,036.90 and 67,784.60 is: 101,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024.60 : 228,036.90 = 67,784.60 : x
  2. Step 2: Convert to fraction form
    152,024.60/228,036.90 = 67,784.60/x
  3. Step 3: Cross multiply
    152,024.60x = 228,036.90 × 67,784.60
  4. Step 4: Simplify right side
    152,024.60x = 15,457,390,051.74
  5. Step 5: Solve for x
    x = 15,457,390,051.74/152,024.60
  6. Step 6: Final answer
    x = 101,676.90

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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.