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Finding the Fourth Proportional to 152,196, 228,397.68 and 53,700

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Solution

The fourth proportional to 152,196, 228,397.68 and 53,700 is: 80,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,196 : 228,397.68 = 53,700 : x
  2. Step 2: Convert to fraction form
    152,196/228,397.68 = 53,700/x
  3. Step 3: Cross multiply
    152,196x = 228,397.68 × 53,700
  4. Step 4: Simplify right side
    152,196x = 12,264,955,416
  5. Step 5: Solve for x
    x = 12,264,955,416/152,196
  6. Step 6: Final answer
    x = 80,586.58

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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.