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Finding the Fourth Proportional to 210,703.76, 316,020.24 and 70,462.16

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Solution

The fourth proportional to 210,703.76, 316,020.24 and 70,462.16 is: 105,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,703.76 : 316,020.24 = 70,462.16 : x
  2. Step 2: Convert to fraction form
    210,703.76/316,020.24 = 70,462.16/x
  3. Step 3: Cross multiply
    210,703.76x = 316,020.24 × 70,462.16
  4. Step 4: Simplify right side
    210,703.76x = 22,267,468,714.12
  5. Step 5: Solve for x
    x = 22,267,468,714.12/210,703.76
  6. Step 6: Final answer
    x = 105,681.40

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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.