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Finding the Fourth Proportional to 233,547.76, 322,348.37 and 152,928.46

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Solution

The fourth proportional to 233,547.76, 322,348.37 and 152,928.46 is: 211,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,547.76 : 322,348.37 = 152,928.46 : x
  2. Step 2: Convert to fraction form
    233,547.76/322,348.37 = 152,928.46/x
  3. Step 3: Cross multiply
    233,547.76x = 322,348.37 × 152,928.46
  4. Step 4: Simplify right side
    233,547.76x = 49,296,238,237.10
  5. Step 5: Solve for x
    x = 49,296,238,237.10/233,547.76
  6. Step 6: Final answer
    x = 211,075.62

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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.