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Finding the Fourth Proportional to 210,784.50, 316,153.46 and 53,013.02

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Solution

The fourth proportional to 210,784.50, 316,153.46 and 53,013.02 is: 79,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,784.50 : 316,153.46 = 53,013.02 : x
  2. Step 2: Convert to fraction form
    210,784.50/316,153.46 = 53,013.02/x
  3. Step 3: Cross multiply
    210,784.50x = 316,153.46 × 53,013.02
  4. Step 4: Simplify right side
    210,784.50x = 16,760,248,249.81
  5. Step 5: Solve for x
    x = 16,760,248,249.81/210,784.50
  6. Step 6: Final answer
    x = 79,513.67

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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.