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Finding the Fourth Proportional to 152,632.91, 210,646.36 and 84,671.79

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Solution

The fourth proportional to 152,632.91, 210,646.36 and 84,671.79 is: 116,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,632.91 : 210,646.36 = 84,671.79 : x
  2. Step 2: Convert to fraction form
    152,632.91/210,646.36 = 84,671.79/x
  3. Step 3: Cross multiply
    152,632.91x = 210,646.36 × 84,671.79
  4. Step 4: Simplify right side
    152,632.91x = 17,835,803,674.10
  5. Step 5: Solve for x
    x = 17,835,803,674.10/152,632.91
  6. Step 6: Final answer
    x = 116,854.24

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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.