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Finding the Fourth Proportional to 152,802.14, 210,868.80 and 84,820.46

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Solution

The fourth proportional to 152,802.14, 210,868.80 and 84,820.46 is: 117,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,802.14 : 210,868.80 = 84,820.46 : x
  2. Step 2: Convert to fraction form
    152,802.14/210,868.80 = 84,820.46/x
  3. Step 3: Cross multiply
    152,802.14x = 210,868.80 × 84,820.46
  4. Step 4: Simplify right side
    152,802.14x = 17,885,988,615.65
  5. Step 5: Solve for x
    x = 17,885,988,615.65/152,802.14
  6. Step 6: Final answer
    x = 117,053.26

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1.5x scale

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.