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Finding the Fourth Proportional to 233,030.16, 348,742.06 and 143,013.12

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Solution

The fourth proportional to 233,030.16, 348,742.06 and 143,013.12 is: 214,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,030.16 : 348,742.06 = 143,013.12 : x
  2. Step 2: Convert to fraction form
    233,030.16/348,742.06 = 143,013.12/x
  3. Step 3: Cross multiply
    233,030.16x = 348,742.06 × 143,013.12
  4. Step 4: Simplify right side
    233,030.16x = 49,874,690,075.83
  5. Step 5: Solve for x
    x = 49,874,690,075.83/233,030.16
  6. Step 6: Final answer
    x = 214,026.76

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Why These Related Problems?

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