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Finding the Fourth Proportional to 152,060.64, 228,103.72 and 56,024

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Solution

The fourth proportional to 152,060.64, 228,103.72 and 56,024 is: 84,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,060.64 : 228,103.72 = 56,024 : x
  2. Step 2: Convert to fraction form
    152,060.64/228,103.72 = 56,024/x
  3. Step 3: Cross multiply
    152,060.64x = 228,103.72 × 56,024
  4. Step 4: Simplify right side
    152,060.64x = 12,779,282,809.28
  5. Step 5: Solve for x
    x = 12,779,282,809.28/152,060.64
  6. Step 6: Final answer
    x = 84,040.70

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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.