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Finding the Fourth Proportional to 180,838.16, 249,549.36 and 99,164.72

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Solution

The fourth proportional to 180,838.16, 249,549.36 and 99,164.72 is: 136,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,838.16 : 249,549.36 = 99,164.72 : x
  2. Step 2: Convert to fraction form
    180,838.16/249,549.36 = 99,164.72/x
  3. Step 3: Cross multiply
    180,838.16x = 249,549.36 × 99,164.72
  4. Step 4: Simplify right side
    180,838.16x = 24,746,492,410.58
  5. Step 5: Solve for x
    x = 24,746,492,410.58/180,838.16
  6. Step 6: Final answer
    x = 136,843.31

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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.