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Finding the Fourth Proportional to 210,422.42, 290,382.93 and 114,929.34

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Solution

The fourth proportional to 210,422.42, 290,382.93 and 114,929.34 is: 158,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,422.42 : 290,382.93 = 114,929.34 : x
  2. Step 2: Convert to fraction form
    210,422.42/290,382.93 = 114,929.34/x
  3. Step 3: Cross multiply
    210,422.42x = 290,382.93 × 114,929.34
  4. Step 4: Simplify right side
    210,422.42x = 33,373,518,492.17
  5. Step 5: Solve for x
    x = 33,373,518,492.17/210,422.42
  6. Step 6: Final answer
    x = 158,602.49

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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.