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Finding the Fourth Proportional to 152,646.31, 210,632.16 and 84,663.01

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Solution

The fourth proportional to 152,646.31, 210,632.16 and 84,663.01 is: 116,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.31 : 210,632.16 = 84,663.01 : x
  2. Step 2: Convert to fraction form
    152,646.31/210,632.16 = 84,663.01/x
  3. Step 3: Cross multiply
    152,646.31x = 210,632.16 × 84,663.01
  4. Step 4: Simplify right side
    152,646.31x = 17,832,752,668.40
  5. Step 5: Solve for x
    x = 17,832,752,668.40/152,646.31
  6. Step 6: Final answer
    x = 116,824.00

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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.