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Finding the Fourth Proportional to 152,468.33, 210,403.16 and 84,484.71

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Solution

The fourth proportional to 152,468.33, 210,403.16 and 84,484.71 is: 116,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,468.33 : 210,403.16 = 84,484.71 : x
  2. Step 2: Convert to fraction form
    152,468.33/210,403.16 = 84,484.71/x
  3. Step 3: Cross multiply
    152,468.33x = 210,403.16 × 84,484.71
  4. Step 4: Simplify right side
    152,468.33x = 17,775,849,955.68
  5. Step 5: Solve for x
    x = 17,775,849,955.68/152,468.33
  6. Step 6: Final answer
    x = 116,587.16

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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.