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Finding the Fourth Proportional to 264,384.65, 364,851.27 and 151,207.40

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Solution

The fourth proportional to 264,384.65, 364,851.27 and 151,207.40 is: 208,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384.65 : 364,851.27 = 151,207.40 : x
  2. Step 2: Convert to fraction form
    264,384.65/364,851.27 = 151,207.40/x
  3. Step 3: Cross multiply
    264,384.65x = 364,851.27 × 151,207.40
  4. Step 4: Simplify right side
    264,384.65x = 55,168,210,900.31
  5. Step 5: Solve for x
    x = 55,168,210,900.31/264,384.65
  6. Step 6: Final answer
    x = 208,666.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.