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Finding the Fourth Proportional to 153,066.82, 229,599.91 and 42,258.50

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Solution

The fourth proportional to 153,066.82, 229,599.91 and 42,258.50 is: 63,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,066.82 : 229,599.91 = 42,258.50 : x
  2. Step 2: Convert to fraction form
    153,066.82/229,599.91 = 42,258.50/x
  3. Step 3: Cross multiply
    153,066.82x = 229,599.91 × 42,258.50
  4. Step 4: Simplify right side
    153,066.82x = 9,702,547,796.74
  5. Step 5: Solve for x
    x = 9,702,547,796.74/153,066.82
  6. Step 6: Final answer
    x = 63,387.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.