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Finding the Fourth Proportional to 152,292, 210,133.80 and 98,569.56

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Solution

The fourth proportional to 152,292, 210,133.80 and 98,569.56 is: 136,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292 : 210,133.80 = 98,569.56 : x
  2. Step 2: Convert to fraction form
    152,292/210,133.80 = 98,569.56/x
  3. Step 3: Cross multiply
    152,292x = 210,133.80 × 98,569.56
  4. Step 4: Simplify right side
    152,292x = 20,712,796,207.13
  5. Step 5: Solve for x
    x = 20,712,796,207.13/152,292
  6. Step 6: Final answer
    x = 136,007.12

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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.