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Finding the Fourth Proportional to 229,075.68, 316,002.38 and 133,547.52

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Solution

The fourth proportional to 229,075.68, 316,002.38 and 133,547.52 is: 184,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.68 : 316,002.38 = 133,547.52 : x
  2. Step 2: Convert to fraction form
    229,075.68/316,002.38 = 133,547.52/x
  3. Step 3: Cross multiply
    229,075.68x = 316,002.38 × 133,547.52
  4. Step 4: Simplify right side
    229,075.68x = 42,201,334,163.10
  5. Step 5: Solve for x
    x = 42,201,334,163.10/229,075.68
  6. Step 6: Final answer
    x = 184,224.42

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Why These Related Problems?

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