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Finding the Fourth Proportional to 233,117.36, 348,924 and 120,642.80

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Solution

The fourth proportional to 233,117.36, 348,924 and 120,642.80 is: 180,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,117.36 : 348,924 = 120,642.80 : x
  2. Step 2: Convert to fraction form
    233,117.36/348,924 = 120,642.80/x
  3. Step 3: Cross multiply
    233,117.36x = 348,924 × 120,642.80
  4. Step 4: Simplify right side
    233,117.36x = 42,095,168,347.20
  5. Step 5: Solve for x
    x = 42,095,168,347.20/233,117.36
  6. Step 6: Final answer
    x = 180,575.00

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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.