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Finding the Fourth Proportional to 180,907.36, 249,667.32 and 105,460.72

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Solution

The fourth proportional to 180,907.36, 249,667.32 and 105,460.72 is: 145,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907.36 : 249,667.32 = 105,460.72 : x
  2. Step 2: Convert to fraction form
    180,907.36/249,667.32 = 105,460.72/x
  3. Step 3: Cross multiply
    180,907.36x = 249,667.32 × 105,460.72
  4. Step 4: Simplify right side
    180,907.36x = 26,330,095,327.67
  5. Step 5: Solve for x
    x = 26,330,095,327.67/180,907.36
  6. Step 6: Final answer
    x = 145,544.63

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