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Finding the Fourth Proportional to 210,326.68, 290,254.89 and 114,837.13

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Solution

The fourth proportional to 210,326.68, 290,254.89 and 114,837.13 is: 158,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326.68 : 290,254.89 = 114,837.13 : x
  2. Step 2: Convert to fraction form
    210,326.68/290,254.89 = 114,837.13/x
  3. Step 3: Cross multiply
    210,326.68x = 290,254.89 × 114,837.13
  4. Step 4: Simplify right side
    210,326.68x = 33,332,038,536.07
  5. Step 5: Solve for x
    x = 33,332,038,536.07/210,326.68
  6. Step 6: Final answer
    x = 158,477.46

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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.