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Finding the Fourth Proportional to 210,341.68, 290,275.56 and 114,852.16

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Solution

The fourth proportional to 210,341.68, 290,275.56 and 114,852.16 is: 158,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,341.68 : 290,275.56 = 114,852.16 : x
  2. Step 2: Convert to fraction form
    210,341.68/290,275.56 = 114,852.16/x
  3. Step 3: Cross multiply
    210,341.68x = 290,275.56 × 114,852.16
  4. Step 4: Simplify right side
    210,341.68x = 33,338,775,061.21
  5. Step 5: Solve for x
    x = 33,338,775,061.21/210,341.68
  6. Step 6: Final answer
    x = 158,498.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.